Směrnice přímky

Tento článek je o matematickém pojmu. O administrativním aktu a právním pojmu pojednává článek směrnice (předpis).

Směrnice přímky je tangens úhlu, který v kartézské soustavě souřadnic svírá daná přímka (nerovnoběžná s osou y) s kladným směrem osy x.[1]

Směrnicový tvar přímky

Jestliže je přímka zapsána v tzv. směrnicovém tvaru jako funkce , pak směrnici přímky představuje číslo k.

Je-li , jedná se o rostoucí funkci, a naopak, je-li , jde o funkci klesající. Je-li , je přímka rovnoběžná s osou x. Přímku rovnoběžnou s osou y nelze pomocí směrnice vyjádřit (nejedná se o funkci, protože v tomto případě je jedné hodnotě x přiřazeno nekonečně mnoho hodnot y).

Související články

Reference

  1. VOJÁČEK, Jakub. Analytická geometrie - Směrnicová rovnice přímky. matematika pro každého [online]. 2008-05-24 [cit. 2016-01-25]. Dostupné online. ISSN 1803-7615. 

Externí odkazy

  • Slovníkové heslo směrnice ve Wikislovníku

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