Question

Determine a equação segmentária da reta 5x - 10y + 5 = 0 e as coordenadas dos pontos de interseção da reta com os eixos do plano.

Answer 1

$\Large\boxed{\begin{array}{l}\sf 5x-10y+5=0\\\rm Vamos\,dividir\,a\,equac_{\!\!,}\tilde ao\,por\,-5:\\\sf \dfrac{5}{-5}x-\dfrac{10}{-5}y+\dfrac{5}{-5}=0\\\\\sf -x+2y-1=0\\\sf -x+2y=1\\\sf quando\,x=0\\\sf 2y=1\implies y=\dfrac{1}{2}\\\sf A\bigg(0,\dfrac{1}{2}\bigg)\\\\\sf quando\,y=0\\\sf -x=1\cdot(-1)\implies x=-1\\\sf B(-1,0)\end{array}}$