Question

Determine a lai da funçao afim cujo ponto passa pelos pontos2,0 e 0,2.

Answer 1

$\large\boxed{\begin{array}{l}\underline{\rm Equac_{\!\!,}\tilde ao\,segment\acute aria\,da\,reta}\\\\\sf \dfrac{x}{a}+\dfrac{y}{b}=1.\\\\\sf A(2,0)\implies a=2\\\sf B(0,2)\implies b=2\\\sf\dfrac{x}{a}+\dfrac{y}{b}=1\\\\\sf\dfrac{x}{2}+\dfrac{y}{2}=1\\\sf multiplicando\,tudo\,por\,2\,temos:\\\sf x+y=2\\\sf isolando\,y:\\\sf y=2-x (func_{\!\!,}\tilde ao\,pedida).\end{array}}$