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src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipedija" src="/static/images/mobile/copyright/wikipedia-wordmark-sl.svg" style="width: 7.4375em; height: 1.375em;"> <img class="mw-logo-tagline" alt="prosta enciklopedija" src="/static/images/mobile/copyright/wikipedia-tagline-sl.svg" width="118" height="13" style="width: 7.375em; height: 0.8125em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/Posebno:Iskanje" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Preiščite viki [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> 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class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Videz"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page's font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Videz" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Videz</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_sl.wikipedia.org&uselang=sl" class=""><span>Denarni prispevki</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Posebno:Registracija&returnto=Linearna+funkcija" title="Predlagamo vam, da si ustvarite račun in se prijavite, vendar to ni obvezno." class=""><span>Ustvari račun</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Posebno:Prijava&returnto=Linearna+funkcija" title="Prijava je zaželena, vendar ni obvezna [o]" accesskey="o" class=""><span>Prijava</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Več možnosti" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" 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class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Posebno:Registracija&returnto=Linearna+funkcija" title="Predlagamo vam, da si ustvarite račun in se prijavite, vendar to ni obvezno."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Ustvari račun</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Posebno:Prijava&returnto=Linearna+funkcija" title="Prijava je zaželena, vendar ni obvezna [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Prijava</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Strani za neprijavljene urejevalce <a href="/wiki/Pomo%C4%8D:Uvod" aria-label="Več o urejanju"><span>več o tem</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Posebno:MojiPrispevki" title="Seznam urejanj s tega IP-naslova [y]" accesskey="y"><span>Prispevki</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Posebno:MojPogovor" title="Pogovor o urejanjih s tega IP-naslova [n]" accesskey="n"><span>Pogovorna stran</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Projekt"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Vsebina" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Vsebina</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">prestavi v stransko letvico</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">skrij</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Uvod</div> </a> </li> <li id="toc-Značilnosti_linearne_funkcije" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Značilnosti_linearne_funkcije"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Značilnosti linearne funkcije</span> </div> </a> <button aria-controls="toc-Značilnosti_linearne_funkcije-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Vklopi podrazdelek Značilnosti linearne funkcije</span> </button> <ul id="toc-Značilnosti_linearne_funkcije-sublist" class="vector-toc-list"> <li id="toc-Pogoj_vzporednosti" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Pogoj_vzporednosti"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Pogoj vzporednosti</span> </div> </a> <ul id="toc-Pogoj_vzporednosti-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Pogoj_pravokotnosti" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Pogoj_pravokotnosti"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Pogoj pravokotnosti</span> </div> </a> <ul id="toc-Pogoj_pravokotnosti-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kot_med_premicama" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Kot_med_premicama"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.3</span> <span>Kot med premicama</span> </div> </a> <ul id="toc-Kot_med_premicama-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Glej_tudi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Glej_tudi"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Glej tudi</span> </div> </a> <ul id="toc-Glej_tudi-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Vsebina" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Vklopi kazalo vsebine" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Vklopi kazalo vsebine</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Linearna funkcija</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="P9jdi na članek v drugem jeziku. Na voljo v 51 jezikih." > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-51" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">51 jezikov</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Lineare_Funktion" title="Lineare Funktion – nemščina (Švica)" lang="gsw" hreflang="gsw" data-title="Lineare Funktion" data-language-autonym="Alemannisch" data-language-local-name="nemščina (Švica)" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AF%D8%A7%D9%84%D8%A9_%D8%AE%D8%B7%D9%8A%D8%A9" title="دالة خطية – arabščina" lang="ar" hreflang="ar" data-title="دالة خطية" data-language-autonym="العربية" data-language-local-name="arabščina" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/X%C9%99tti_funksiya" title="Xətti funksiya – azerbajdžanščina" lang="az" hreflang="az" data-title="Xətti funksiya" data-language-autonym="Azərbaycanca" data-language-local-name="azerbajdžanščina" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9B%D1%96%D0%BD%D0%B5%D0%B9%D0%BD%D0%B0%D1%8F_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D1%8B%D1%8F" title="Лінейная функцыя – beloruščina" lang="be" hreflang="be" data-title="Лінейная функцыя" data-language-autonym="Беларуская" data-language-local-name="beloruščina" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9B%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D0%B0_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D1%8F" title="Линейна функция – bolgarščina" lang="bg" hreflang="bg" data-title="Линейна функция" data-language-autonym="Български" data-language-local-name="bolgarščina" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Funci%C3%B3_lineal" title="Funció lineal – katalonščina" lang="ca" hreflang="ca" data-title="Funció lineal" data-language-autonym="Català" data-language-local-name="katalonščina" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Line%C3%A1rn%C3%AD_funkce" title="Lineární funkce – češčina" lang="cs" hreflang="cs" data-title="Lineární funkce" data-language-autonym="Čeština" data-language-local-name="češčina" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9B%D0%B8%D0%BD%D0%B8%D0%BB%D0%BB%D0%B5_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8" title="Линилле функци – čuvaščina" lang="cv" hreflang="cv" data-title="Линилле функци" data-language-autonym="Чӑвашла" data-language-local-name="čuvaščina" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/F%C3%B8rstegradspolynomium" title="Førstegradspolynomium – danščina" lang="da" hreflang="da" data-title="Førstegradspolynomium" data-language-autonym="Dansk" data-language-local-name="danščina" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Lineare_Funktion" title="Lineare Funktion – nemščina" lang="de" hreflang="de" data-title="Lineare Funktion" data-language-autonym="Deutsch" data-language-local-name="nemščina" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Linear_function_(calculus)" title="Linear function (calculus) – angleščina" lang="en" hreflang="en" data-title="Linear function (calculus)" data-language-autonym="English" data-language-local-name="angleščina" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Lineara_funkcio" title="Lineara funkcio – esperanto" lang="eo" hreflang="eo" data-title="Lineara funkcio" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Funci%C3%B3n_lineal" title="Función lineal – španščina" lang="es" hreflang="es" data-title="Función lineal" data-language-autonym="Español" data-language-local-name="španščina" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Lineaarfunktsioon" title="Lineaarfunktsioon – estonščina" lang="et" hreflang="et" data-title="Lineaarfunktsioon" data-language-autonym="Eesti" data-language-local-name="estonščina" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Funtzio_lineal" title="Funtzio lineal – baskovščina" lang="eu" hreflang="eu" data-title="Funtzio lineal" data-language-autonym="Euskara" data-language-local-name="baskovščina" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AA%D8%A7%D8%A8%D8%B9_%D8%AE%D8%B7%DB%8C" title="تابع خطی – perzijščina" lang="fa" hreflang="fa" data-title="تابع خطی" data-language-autonym="فارسی" data-language-local-name="perzijščina" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Lineaarinen_funktio" title="Lineaarinen funktio – finščina" lang="fi" hreflang="fi" data-title="Lineaarinen funktio" data-language-autonym="Suomi" data-language-local-name="finščina" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Fonction_affine" title="Fonction affine – francoščina" lang="fr" hreflang="fr" data-title="Fonction affine" data-language-autonym="Français" data-language-local-name="francoščina" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Funci%C3%B3n_linear" title="Función linear – galicijščina" lang="gl" hreflang="gl" data-title="Función linear" data-language-autonym="Galego" data-language-local-name="galicijščina" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A4%D7%95%D7%A0%D7%A7%D7%A6%D7%99%D7%94_%D7%9C%D7%99%D7%A0%D7%99%D7%90%D7%A8%D7%99%D7%AA" title="פונקציה ליניארית – hebrejščina" lang="he" hreflang="he" data-title="פונקציה ליניארית" data-language-autonym="עברית" data-language-local-name="hebrejščina" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Line%C3%A1ris_f%C3%BCggv%C3%A9ny" title="Lineáris függvény – madžarščina" lang="hu" hreflang="hu" data-title="Lineáris függvény" data-language-autonym="Magyar" data-language-local-name="madžarščina" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B3%D5%AE%D5%A1%D5%B5%D5%AB%D5%B6_%D6%86%D5%B8%D6%82%D5%B6%D5%AF%D6%81%D5%AB%D5%A1" title="Գծային ֆունկցիա – armenščina" lang="hy" hreflang="hy" data-title="Գծային ֆունկցիա" data-language-autonym="Հայերեն" data-language-local-name="armenščina" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Fungsi_linear_(kalkulus)" title="Fungsi linear (kalkulus) – indonezijščina" lang="id" hreflang="id" data-title="Fungsi linear (kalkulus)" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonezijščina" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Funzione_lineare" title="Funzione lineare – italijanščina" lang="it" hreflang="it" data-title="Funzione lineare" data-language-autonym="Italiano" data-language-local-name="italijanščina" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E4%B8%80%E6%AC%A1%E9%96%A2%E6%95%B0" title="一次関数 – japonščina" lang="ja" hreflang="ja" data-title="一次関数" data-language-autonym="日本語" data-language-local-name="japonščina" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A1%D1%8B%D0%B7%D1%8B%D2%9B%D1%82%D1%8B%D2%9B_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D1%8F" title="Сызықтық функция – kazaščina" lang="kk" hreflang="kk" data-title="Сызықтық функция" data-language-autonym="Қазақша" data-language-local-name="kazaščina" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9D%BC%EC%B0%A8_%ED%95%A8%EC%88%98" title="일차 함수 – korejščina" lang="ko" hreflang="ko" data-title="일차 함수" data-language-autonym="한국어" data-language-local-name="korejščina" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Functio_linearis" title="Functio linearis – latinščina" lang="la" hreflang="la" data-title="Functio linearis" data-language-autonym="Latina" data-language-local-name="latinščina" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BA%95%E0%BA%B3%E0%BA%A5%E0%BA%B2%E0%BB%80%E0%BA%AA%E0%BA%B1%E0%BB%89%E0%BA%99%E0%BA%8A%E0%BA%B7%E0%BB%88" title="ຕຳລາເສັ້ນຊື່ – laoščina" lang="lo" hreflang="lo" data-title="ຕຳລາເສັ້ນຊື່" data-language-autonym="ລາວ" data-language-local-name="laoščina" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Line%C4%81ra_funkcija" title="Lineāra funkcija – latvijščina" lang="lv" hreflang="lv" data-title="Lineāra funkcija" data-language-autonym="Latviešu" data-language-local-name="latvijščina" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9B%D0%B8%D0%BD%D0%B5%D0%B0%D1%80%D0%BD%D0%B0_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D1%98%D0%B0" title="Линеарна функција – makedonščina" lang="mk" hreflang="mk" data-title="Линеарна функција" data-language-autonym="Македонски" data-language-local-name="makedonščina" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Fungsi_linear" title="Fungsi linear – malajščina" lang="ms" hreflang="ms" data-title="Fungsi linear" data-language-autonym="Bahasa Melayu" data-language-local-name="malajščina" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Lineaire_functie" title="Lineaire functie – nizozemščina" lang="nl" hreflang="nl" data-title="Lineaire functie" data-language-autonym="Nederlands" data-language-local-name="nizozemščina" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Line%C3%A6r_funksjon" title="Lineær funksjon – knjižna norveščina" lang="nb" hreflang="nb" data-title="Lineær funksjon" data-language-autonym="Norsk bokmål" data-language-local-name="knjižna norveščina" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Funkcja_liniowa" title="Funkcja liniowa – poljščina" lang="pl" hreflang="pl" data-title="Funkcja liniowa" data-language-autonym="Polski" data-language-local-name="poljščina" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Fun%C3%A7%C3%A3o_afim" title="Função afim – portugalščina" lang="pt" hreflang="pt" data-title="Função afim" data-language-autonym="Português" data-language-local-name="portugalščina" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Func%C8%9Bie_algebric%C4%83_de_gradul_%C3%AEnt%C3%A2i" title="Funcție algebrică de gradul întâi – romunščina" lang="ro" hreflang="ro" data-title="Funcție algebrică de gradul întâi" data-language-autonym="Română" data-language-local-name="romunščina" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9B%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D0%B0%D1%8F_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D1%8F" title="Линейная функция – ruščina" lang="ru" hreflang="ru" data-title="Линейная функция" data-language-autonym="Русский" data-language-local-name="ruščina" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Linear_function" title="Linear function – Simple English" lang="en-simple" hreflang="en-simple" data-title="Linear function" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Line%C3%A1rna_funkcia" title="Lineárna funkcia – slovaščina" lang="sk" hreflang="sk" data-title="Lineárna funkcia" data-language-autonym="Slovenčina" data-language-local-name="slovaščina" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9B%D0%B8%D0%BD%D0%B5%D0%B0%D1%80%D0%BD%D0%B0_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D1%98%D0%B0" title="Линеарна функција – srbščina" lang="sr" hreflang="sr" data-title="Линеарна функција" data-language-autonym="Српски / srpski" data-language-local-name="srbščina" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Linj%C3%A4r_funktion" title="Linjär funktion – švedščina" lang="sv" hreflang="sv" data-title="Linjär funktion" data-language-autonym="Svenska" data-language-local-name="švedščina" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%A8%E0%AF%87%E0%AE%B0%E0%AE%BF%E0%AE%AF%E0%AE%B2%E0%AF%8D_%E0%AE%9A%E0%AE%BE%E0%AE%B0%E0%AF%8D%E0%AE%AA%E0%AF%81" title="நேரியல் சார்பு – tamilščina" lang="ta" hreflang="ta" data-title="நேரியல் சார்பு" data-language-autonym="தமிழ்" data-language-local-name="tamilščina" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%9F%E0%B8%B1%E0%B8%87%E0%B8%81%E0%B9%8C%E0%B8%8A%E0%B8%B1%E0%B8%99%E0%B9%80%E0%B8%8A%E0%B8%B4%E0%B8%87%E0%B9%80%E0%B8%AA%E0%B9%89%E0%B8%99" title="ฟังก์ชันเชิงเส้น – tajščina" lang="th" 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interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Chiziqli_funksiya" title="Chiziqli funksiya – uzbeščina" lang="uz" hreflang="uz" data-title="Chiziqli funksiya" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbeščina" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/H%C3%A0m_s%E1%BB%91_b%E1%BA%ADc_nh%E1%BA%A5t" title="Hàm số bậc nhất – vietnamščina" lang="vi" hreflang="vi" data-title="Hàm số bậc nhất" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamščina" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E7%BA%BF%E6%80%A7%E5%87%BD%E6%95%B0" title="线性函数 – wu-kitajščina" lang="wuu" hreflang="wuu" data-title="线性函数" data-language-autonym="吴语" data-language-local-name="wu-kitajščina" 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id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Videz"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Videz</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">prestavi v stransko letvico</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">skrij</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Iz Wikipedije, proste enciklopedije</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="sl" dir="ltr"><p><b>Línearna fúnkcija</b> je <a href="/wiki/Realno_%C5%A1tevilo" title="Realno število">realna</a> <a href="/wiki/Funkcija" class="mw-redirect" title="Funkcija">funkcija</a> oblike <i><b>f(x) = kx + n</b></i>. <a href="/wiki/Graf_funkcije" title="Graf funkcije">Graf</a> te funkcije v <a href="/wiki/Ravnina" title="Ravnina">ravninskem</a> <a href="/wiki/Kartezi%C4%8Dni_koordinatni_sistem" title="Kartezični koordinatni sistem">kartezičnem koordinatnem sistemu</a> je <a href="/wiki/Premica" title="Premica">premica</a>. </p> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Slika:Linear_functions2.PNG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/80/Linear_functions2.PNG/300px-Linear_functions2.PNG" decoding="async" width="300" height="301" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/8/80/Linear_functions2.PNG 1.5x" data-file-width="402" data-file-height="403" /></a><figcaption>Grafi treh linearnih funkcij. Modra in rdeča imata enak <i>k</i>, zelena in rdeča pa enak <i>n</i>.</figcaption></figure> <p>Opozorilo: linearna funkcija v splošnem ni isto kot <a href="/wiki/Linearna_transformacija" title="Linearna transformacija">linearna transformacija</a>. Linearna funkcija sodi v skupino <a href="/w/index.php?title=Afina_trasformacija&action=edit&redlink=1" class="new" title="Afina trasformacija (stran ne obstaja)">afinih transformacij</a> in jo zato včasih imenujemo tudi <i>afina funkcija</i>. Linearna funkcija je hkrati tudi <a href="/wiki/Linearna_transformacija" title="Linearna transformacija">linearna transformacija</a>, če in samo če je <i>n</i> = 0. </p><p>Fizikalni zgled za linearno funkcijo je <a href="/wiki/Pot" title="Pot">pot</a> pri <a href="/wiki/Premo_enakomerno_gibanje" title="Premo enakomerno gibanje">premem enakomernem gibanju</a> v odvisnosti od <a href="/wiki/%C4%8Cas" title="Čas">časa</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Značilnosti_linearne_funkcije"><span id="Zna.C4.8Dilnosti_linearne_funkcije"></span>Značilnosti linearne funkcije</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Linearna_funkcija&veaction=edit&section=1" title="Uredi razdelek: Značilnosti linearne funkcije" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Linearna_funkcija&action=edit&section=1" title="Urejanje izvorne kode razdelka: Značilnosti linearne funkcije"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Graf_funkcije" title="Graf funkcije">Graf</a> linearne funkcije je vedno <a href="/wiki/Premica" title="Premica">premica</a>. </p><p>Število <i>n</i> = <i>f</i>(0) določa točko, kjer graf seka <a href="/wiki/Ordinatna_os" title="Ordinatna os">ordinatno os</a>, zato se imenuje <i>odsek na ordinatni osi</i>. S to točko po navadi tudi začnemo risati graf, zato se <i>n</i> imenuje tudi <i>začetna vrednost</i>. </p><p>Število <i>k</i> določa smer premice, zato se imenuje <i>smerni koeficient</i> ali <i>smerni količnik</i>. </p> <ul><li>Če je <i>k</i> pozitiven, je linearna funkcija <a href="/wiki/Nara%C5%A1%C4%8Dajo%C4%8Da_funkcija" class="mw-redirect" title="Naraščajoča funkcija">naraščajoča</a>..</li> <li>Če je <i>k</i> negativen, je linearna funkcija <a href="/wiki/Padajo%C4%8Da_funkcija" class="mw-redirect" title="Padajoča funkcija">padajoča</a>.</li> <li>Če je <i>k</i> = 0, je linearna funkcija <a href="/wiki/Konstanta" title="Konstanta">konstantna</a> - graf je v tem primeru vzporeden <a href="/wiki/Abscisna_os" title="Abscisna os">abscisni osi</a>.</li></ul> <p>Smerni količnik premice, ki poteka skozi dve dani točki <i>A</i>(<i>x</i><sub>1</sub>,<i>y</i><sub>1</sub>) in <i>B</i>(<i>x</i><sub>2</sub>,<i>y</i><sub>2</sub>) lahko izračunamo po formuli: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k={\frac {y_{2}-y_{1}}{x_{2}-x_{1}}}\!\,.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>−</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mrow> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> </mfrac> </mrow> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k={\frac {y_{2}-y_{1}}{x_{2}-x_{1}}}\!\,.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/42fefa151473d355f4b37fb430e7ec2ea1750ab6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:13.401ex; height:5.509ex;" alt="{\displaystyle k={\frac {y_{2}-y_{1}}{x_{2}-x_{1}}}\!\,.}"></span></dd></dl> <p>Nato iz formule <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle y=k*x+n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mo>=</mo> <mi>k</mi> <mo>∗</mo> <mi>x</mi> <mo>+</mo> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y=k*x+n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/03b1e74c7733eaa4b02cae32a23b6f8b315b1bd3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:13.225ex; height:2.509ex;" alt="{\displaystyle y=k*x+n}"></span> izpeljemo formulo za izračun n: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle n=y_{1}-k*x_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> <mo>=</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>−</mo> <mi>k</mi> <mo>∗</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n=y_{1}-k*x_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/73b9e46cc23c22ad96ae5eabe7899206902927d0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:15.317ex; height:2.509ex;" alt="{\displaystyle n=y_{1}-k*x_{1}}"></span>oziroma <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle n=y_{2}-k*x_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> <mo>=</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>−</mo> <mi>k</mi> <mo>∗</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n=y_{2}-k*x_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f837d6b09d0c8f077df1252b8b6dc22db5113259" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:15.317ex; height:2.509ex;" alt="{\displaystyle n=y_{2}-k*x_{2}}"></span> </p> <div class="mw-heading mw-heading3"><h3 id="Pogoj_vzporednosti">Pogoj vzporednosti</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Linearna_funkcija&veaction=edit&section=2" title="Uredi razdelek: Pogoj vzporednosti" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Linearna_funkcija&action=edit&section=2" title="Urejanje izvorne kode razdelka: Pogoj vzporednosti"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Grafa linearnih funkcij sta <a href="/wiki/Vzporednost" title="Vzporednost">vzporedni</a> premici, če velja: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k_{1}=k_{2}\!\,.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k_{1}=k_{2}\!\,.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9079a83a36579bd3c515baaec51736772737c70b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:8.276ex; height:2.509ex;" alt="{\displaystyle k_{1}=k_{2}\!\,.}"></span></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Pogoj_pravokotnosti">Pogoj pravokotnosti</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Linearna_funkcija&veaction=edit&section=3" title="Uredi razdelek: Pogoj pravokotnosti" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Linearna_funkcija&action=edit&section=3" title="Urejanje izvorne kode razdelka: Pogoj pravokotnosti"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Grafa linearnih funkcij sta <a href="/wiki/Pravokotnost" title="Pravokotnost">pravokotni</a> premici, če velja: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k_{1}=-{\frac {1}{k_{2}}}\!\,.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mfrac> </mrow> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k_{1}=-{\frac {1}{k_{2}}}\!\,.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4ae9fbdfd13102d3afdd076625e7201c43a6991c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:10.921ex; height:5.676ex;" alt="{\displaystyle k_{1}=-{\frac {1}{k_{2}}}\!\,.}"></span></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Kot_med_premicama">Kot med premicama</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Linearna_funkcija&veaction=edit&section=4" title="Uredi razdelek: Kot med premicama" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Linearna_funkcija&action=edit&section=4" title="Urejanje izvorne kode razdelka: Kot med premicama"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ostri kot med premicama s smernima koeficientoma <i>k</i><sub>1</sub> in <i>k</i><sub>2</sub> lahko izračunamo po formuli: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \tan \varphi ={\Big |}{\frac {k_{1}-k_{2}}{1+k_{1}k_{2}}}{\Big |}\!\,.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>tan</mi> <mo>⁡</mo> <mi>φ</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.623em" minsize="1.623em">|</mo> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>−</mo> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <mrow> <mn>1</mn> <mo>+</mo> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.623em" minsize="1.623em">|</mo> </mrow> </mrow> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \tan \varphi ={\Big |}{\frac {k_{1}-k_{2}}{1+k_{1}k_{2}}}{\Big |}\!\,.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2658be6c42e9e6231161c78300e2168abf7e5b2f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:19.676ex; height:5.843ex;" alt="{\displaystyle \tan \varphi ={\Big |}{\frac {k_{1}-k_{2}}{1+k_{1}k_{2}}}{\Big |}\!\,.}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Glej_tudi">Glej tudi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Linearna_funkcija&veaction=edit&section=5" title="Uredi razdelek: Glej tudi" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Linearna_funkcija&action=edit&section=5" title="Urejanje izvorne kode razdelka: Glej tudi"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Polinom" title="Polinom">polinom</a></li></ul> <p><br clear="all" /> </p> <div role="navigation" class="navbox" aria-labelledby="Ravninske_krivulje" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" 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style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Elipsa" title="Elipsa">elipsa</a></li> <li><a href="/wiki/Kro%C5%BEnica" title="Krožnica">krožnica</a></li> <li><a href="/wiki/Hiperbola" title="Hiperbola">hiperbola</a></li> <li><a href="/wiki/Parabola" title="Parabola">parabola</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Lemniskata" title="Lemniskata">Lemniskate</a></th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Bernoullijeva_lemniskata" title="Bernoullijeva lemniskata">Bernoullijeva</a></li> <li><a href="/wiki/Hipopeda" title="Hipopeda">Boothova</a></li> <li><a href="/wiki/Cassinijev_oval" title="Cassinijev oval">Cassinijev oval</a></li> <li><a href="/wiki/Descartesov_oval" title="Descartesov oval">Descartesov oval</a></li> <li><a href="/wiki/Geronova_lemniskata" title="Geronova lemniskata">Geronova</a></li> <li><a href="/wiki/Hipopeda" title="Hipopeda">hipopeda</a></li> <li><a href="/wiki/Polinomska_lemniskata" title="Polinomska lemniskata">polinomska</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Spirala" title="Spirala">Spirale</a></th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Arhimedska_spirala" title="Arhimedska spirala">arhimedske</a> <ul><li><a href="/wiki/Arhimedova_spirala" title="Arhimedova spirala">Arhimedova</a></li> <li><a href="/wiki/Fermatova_spirala" title="Fermatova spirala">parabolična</a> <ul><li><a href="/wiki/Fermatova_spirala" title="Fermatova spirala">Fermatova</a></li></ul></li> <li><a href="/wiki/Cotesova_spirala" title="Cotesova spirala">Cotesova</a></li> <li><a href="/wiki/Epispirala" title="Epispirala">epispirala</a></li> <li><a href="/wiki/Hiperboli%C4%8Dna_spirala" title="Hiperbolična spirala">hiperbolična</a></li> <li><a href="/w/index.php?title=Kvadratna_hiperboli%C4%8Dna_spirala&action=edit&redlink=1" class="new" title="Kvadratna hiperbolična spirala (stran ne obstaja)">kvadratna hiperbolična</a></li> <li><a href="/wiki/Lituus" title="Lituus">lituus</a></li></ul></li> <li><a href="/wiki/Logaritemska_spirala" title="Logaritemska spirala">enakokotna</a></li> <li><a href="/wiki/Evolventa" title="Evolventa">evolventa krožnice</a></li> <li><a href="/wiki/Galilejeva_spirala" title="Galilejeva spirala">Galilejeva</a></li> <li><a href="/wiki/Klotoida" title="Klotoida">klotoida</a></li> <li><a href="/wiki/Logaritemska_spirala" title="Logaritemska spirala">logaritemska</a></li> <li><a href="/wiki/Poinsotova_spirala" title="Poinsotova spirala">Poinsotova</a></li> <li><a href="/wiki/Sinusoidna_spirala" title="Sinusoidna spirala">sinusoidna</a> <ul><li><a href="/wiki/Cayleyjeva_sekstika" title="Cayleyjeva sekstika">Cayleyjeva sekstika</a></li></ul></li> <li><a href="/wiki/Zlata_spirala" title="Zlata spirala">zlata</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Fraktal" title="Fraktal">Fraktalne</a></th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Hilbertova_krivulja" title="Hilbertova krivulja">Hilbertova</a></li> <li><a href="/wiki/Kochova_sne%C5%BEinka" title="Kochova snežinka">Kochova snežinka</a></li> <li><a href="/w/index.php?title=L%C3%A9vyjeva_krivulja_C&action=edit&redlink=1" class="new" title="Lévyjeva krivulja C (stran ne obstaja)">Lévyjeva krivulja C</a></li> <li><a href="/w/index.php?title=Krivulja_Minkowskega&action=edit&redlink=1" class="new" title="Krivulja Minkowskega (stran ne obstaja)">Minkowskega</a></li> <li><a href="/w/index.php?title=Peanova_krivulja&action=edit&redlink=1" class="new" title="Peanova krivulja (stran ne obstaja)">Peanova</a></li> <li><a href="/w/index.php?title=Krivulja_Sierpi%C5%84skega&action=edit&redlink=1" class="new" title="Krivulja Sierpińskega (stran ne obstaja)">Sierpińskega</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/w/index.php?title=Odvojna_krivulja&action=edit&redlink=1" class="new" title="Odvojna krivulja (stran ne obstaja)">Odvojne</a></th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Cikloida" title="Cikloida">cikloida</a> <ul><li><a href="/wiki/Brahistokrona" title="Brahistokrona">brahistokrona</a></li></ul></li> <li><a href="/wiki/Epitrohoida" title="Epitrohoida">epitrohoida</a> <ul><li><a href="/wiki/Pascalov_pol%C5%BE" title="Pascalov polž">Pascalov polž</a></li></ul></li> <li><a href="/wiki/Epicikloida" title="Epicikloida">epicikloida</a></li> <li><a href="/wiki/Evoluta" title="Evoluta">evoluta</a></li> <li><a href="/wiki/Evolventa" title="Evolventa">evolventa</a> <ul><li><i><a href="/wiki/Evolventa" title="Evolventa">evolventa krožnice</a></i></li></ul></li> <li><a href="/wiki/Hipocikloida" title="Hipocikloida">hipocikloida</a> <ul><li><i><a href="/wiki/Astroida" title="Astroida">astroida</a></i></li> <li><a href="/wiki/Deltoida" title="Deltoida">deltoida</a>)</li> <li><a href="/wiki/Hipotrohoida" title="Hipotrohoida">hipotrohoida</a></li> <li><a href="/wiki/Trohoida" title="Trohoida">trohoida</a> <ul><li><i><a href="/wiki/Nefroida" title="Nefroida">nefroida</a></i> (<a href="/w/index.php?title=Freethova_nefroida&action=edit&redlink=1" class="new" title="Freethova nefroida (stran ne obstaja)">Freethova nefroida</a></li></ul></li> <li><a href="/wiki/Sr%C4%8Dnica" title="Srčnica">srčnica</a></li> <li><a href="/w/index.php?title=Sredi%C5%A1%C4%8Dna_trohoida&action=edit&redlink=1" class="new" title="Središčna trohoida (stran ne obstaja)">središčna</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Ruleta_(krivulja)" title="Ruleta (krivulja)">Rulete</a></th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><i><a href="/wiki/Cikloida" title="Cikloida">cikloida</a></i></li> <li><i><a href="/wiki/Epicikloida" title="Epicikloida">epicikloida</a></i></li> <li><i><a href="/wiki/Evolventa" title="Evolventa">evolventa</a></i></li> <li><i><a href="/wiki/Hipocikloida" title="Hipocikloida">hipocikloida</a></i></li> <li><i><a href="/wiki/Trohoida" title="Trohoida">trohoida</a></i></li> <li><a href="/wiki/Veri%C5%BEnica" title="Verižnica">verižnica</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Krivulja_tretje_stopnje" title="Krivulja tretje stopnje">3. reda</a></th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Agnesin_koder" title="Agnesin koder">Agnesin koder</a></li> <li><a href="/wiki/Cisoida" title="Cisoida">cisoida</a> <ul><li><a href="/wiki/Dioklesova_cisoida" title="Dioklesova cisoida">Dioklesova cisoida</a></li></ul></li> <li><a href="/wiki/De_Sluzejeva_konhoida" title="De Sluzejeva konhoida">De Sluzejeva konhoida</a></li> <li><a href="/wiki/Descartesov_list" title="Descartesov list">Descartesov list</a></li> <li><a href="/w/index.php?title=Kubi%C4%8Dna_elipsa&action=edit&redlink=1" class="new" title="Kubična elipsa (stran ne obstaja)">kubična elipsa</a></li> <li><a href="/w/index.php?title=Kubi%C4%8Dna_hiperbola&action=edit&redlink=1" class="new" title="Kubična hiperbola (stran ne obstaja)">kubična hiperbola</a></li> <li><a href="/w/index.php?title=Kubi%C4%8Dna_parabola&action=edit&redlink=1" class="new" title="Kubična parabola (stran ne obstaja)">kubična parabola</a></li> <li><a href="/w/index.php?title=Kubi%C4%8Dna_paraboli%C4%8Dna_hiperbola&action=edit&redlink=1" class="new" title="Kubična parabolična hiperbola (stran ne obstaja)">kubična parabolična hiperbola</a></li> <li><a href="/wiki/Maclaurinova_trisektrisa" title="Maclaurinova trisektrisa">Maclaurinova trisektrisa</a> <ul><li><a href="/wiki/Trisektrisa_Pascalovega_pol%C5%BEa" title="Trisektrisa Pascalovega polža">trisektrisa Pascalovega polža</a></li></ul></li> <li><a href="/wiki/Neilova_parabola" title="Neilova parabola">Neilova parabola</a></li> <li><a href="/wiki/Okljuk_(krivulja)" title="Okljuk (krivulja)">okljuk</a> <ul><li><a href="/wiki/Newtonova_serpentina" class="mw-redirect" title="Newtonova serpentina">Newtonova serpentina</a></li></ul></li> <li><a href="/wiki/Strofoida" title="Strofoida">strofoida</a></li> <li><a href="/wiki/Tschirnhausova_kubi%C4%8Dna_krivulja" title="Tschirnhausova kubična krivulja">Tschirnhausova kubična</a></li> <li><a href="/wiki/Trizob_(krivulja)" title="Trizob (krivulja)">trizob</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Krivulja_%C4%8Detrte_stopnje" title="Krivulja četrte stopnje">4. reda</a></th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Krivulja_ampersand" title="Krivulja ampersand">ampersand</a></li> <li><a href="/wiki/Dvorogeljnik_(matematika)" title="Dvorogeljnik (matematika)">dvorogeljnik</a></li> <li><a href="/wiki/Evdoksova_kampila" title="Evdoksova kampila">Evdoksova kampila</a></li> <li><a href="/wiki/Hudi%C4%8Deva_krivulja" title="Hudičeva krivulja">hudičeva</a></li> <li><a href="/wiki/Konhoida" title="Konhoida">konhoida</a> <ul><li><a href="/w/index.php?title=Nikomedova_konhoida&action=edit&redlink=1" class="new" title="Nikomedova konhoida (stran ne obstaja)">Nikomedova konhoida</a></li> <li><i><a href="/wiki/Pascalov_pol%C5%BE" title="Pascalov polž">Pascalov polž</a></i></li></ul></li> <li><a href="/w/index.php?title=Deteljica_(matematika)&action=edit&redlink=1" class="new" title="Deteljica (matematika) (stran ne obstaja)">deteljica</a> <ul><li><a href="/w/index.php?title=Dvoperesna_deteljica_(matematika)&action=edit&redlink=1" class="new" title="Dvoperesna deteljica (matematika) (stran ne obstaja)">dvoperesna</a></li> <li><a href="/w/index.php?title=Enoperesna_deteljica_(matematika)&action=edit&redlink=1" class="new" title="Enoperesna deteljica (matematika) (stran ne obstaja)">enoperesna</a></li> <li><a href="/wiki/Triperesna_deteljica_(matematika)" title="Triperesna deteljica (matematika)">triperesna</a></li></ul></li> <li><a href="/wiki/Kri%C5%BEna_krivulja" title="Križna krivulja">križna</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/w/index.php?title=Krivulja_%C5%A1este_stopnje&action=edit&redlink=1" class="new" title="Krivulja šeste stopnje (stran ne obstaja)">6. reda</a></th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Astroida" title="Astroida">astroida</a></li> <li><a href="/wiki/Atriftaloida" title="Atriftaloida">atriftaloida</a></li> <li><a href="/wiki/Nefroida" title="Nefroida">nefroida</a></li> <li><a href="/wiki/%C5%A0tiriperesna_deteljica_(matematika)" title="Štiriperesna deteljica (matematika)">štiriperesna deteljica</a></li> <li><a href="/wiki/Wattova_krivulja" title="Wattova krivulja">Wattova</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Druge</th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/B%C3%A9zierova_krivulja" title="Bézierova krivulja">Bézierova</a></li> <li><a href="/wiki/Fermatova_krivulja" title="Fermatova krivulja">Fermatova</a></li> <li><a href="/wiki/Gliseta" title="Gliseta">glisete</a></li> <li><a href="/wiki/Kvadratrisa" title="Kvadratrisa">kvadratrisa</a> <ul><li><a href="/wiki/Hipijeva_kvadratrisa" title="Hipijeva kvadratrisa">Hipijeva kvadratrisa</a></li></ul></li> <li><a href="/wiki/Kohleoida" title="Kohleoida">kohleoida</a></li> <li><a href="/w/index.php?title=Leibnizeva_izohrona&action=edit&redlink=1" class="new" title="Leibnizeva izohrona (stran ne obstaja)">Leibnizeva izohrona</a></li> <li><a href="/wiki/Lissajousova_krivulja" title="Lissajousova krivulja">Lissajousova</a></li> <li><a href="/wiki/Oval_(geometrija)" title="Oval (geometrija)">oval</a></li> <li><a href="/w/index.php?title=Radiodroma&action=edit&redlink=1" class="new" title="Radiodroma (stran ne obstaja)">radiodroma</a> <ul><li><a href="/wiki/Traktrisa" title="Traktrisa">traktrisa</a></li></ul></li> <li><a href="/wiki/Ribja_krivulja" title="Ribja krivulja">ribja</a></li> <li><a href="/w/index.php?title=Krivulja_s_konstantno_%C5%A1irino&action=edit&redlink=1" class="new" title="Krivulja s konstantno širino (stran ne obstaja)">s konstantno širino</a></li> <li><a href="/w/index.php?title=Sinusoida&action=edit&redlink=1" class="new" title="Sinusoida (stran ne obstaja)">sinusoida</a></li> <li><a href="/wiki/Superelipsa" title="Superelipsa">superelipsa</a></li> <li><a href="/w/index.php?title=Talbotova_krivulja&action=edit&redlink=1" class="new" title="Talbotova krivulja (stran ne obstaja)">Talbotova</a></li> <li><a href="/wiki/Trisektrisa" title="Trisektrisa">trisektrisa</a> <ul><li><a href="/w/index.php?title=Pol%C5%BEasta_trisektrisa&action=edit&redlink=1" class="new" title="Polžasta trisektrisa (stran ne obstaja)">polžasta</a></li> <li><a href="/w/index.php?title=Cevova_trisektrisa&action=edit&redlink=1" class="new" title="Cevova trisektrisa (stran ne obstaja)">Cevova</a></li> <li><i><a href="/wiki/Maclaurinova_trisektrisa" title="Maclaurinova trisektrisa">Maclaurinova</a></i></li></ul></li> <li><a href="/wiki/Vrtnica_(matematika)" title="Vrtnica (matematika)">vrtnica</a> <ul><li><i><a href="/wiki/%C5%A0tiriperesna_deteljica_(matematika)" title="Štiriperesna deteljica (matematika)">štiriperesna deteljica</a></i></li></ul></li> <li><a href="/wiki/Kro%C5%BEna_algebrska_krivulja" title="Krožna algebrska krivulja">krožna algebrska krivulja</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div>Glej tudi: <a href="/wiki/Seznam_krivulj" title="Seznam krivulj">seznam krivulj</a></div></td></tr></tbody></table></div> <div role="navigation" class="navbox" aria-label="Navbox" style="padding:3px"><table class="nowraplinks hlist 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