Question

A equação da reta que passa pelos pontos (-2, 4) e (-3, 8) é:
a- y= -4x - 4
b- y= -4x +4
c- y= -x + 4
d- y= 4x - 4
e- 4x + 4

Answer 1

$A~(-2~;~4)~~e~~B~(-3~;~8)\\\\\\ m= \dfrac{y_b-y_a}{x_b-x_a} \to~~ m= \dfrac{8-4}{-3-(-2)} \to~~ m= \dfrac{4}{-3+2} \to~~ m= \dfrac{4}{-1} \to\\\\ \boxed{m=-4}\\\\\\ (y-y_{\°})=m~(x-x_{\°})\\\\\\ Usando ~~o~~ponto~~A:\\\\(y-4)=-4~(x-(-2))\to~y-4=-4(x+2)\to~y-4=-4x-8\to \\\\ y=-4x-8+4\to~~y=-4x-4\\\\\\\\\\ \large\boxed{Resposta:~~Letra~~A)~ y=-4x-4}$