Question

escreva a equação geral da reta que passa pelos pontos indicados:
C(5,2) D(-1,-6).

Answer 1

$C(5,2);D(-1,-6)\\\\\\ m= \frac{ y_{2}- y_{1} }{ x_{2} - x_{1} } \to m= \frac{-6-2}{-1-5} \to m= \frac{-8}{-6} \to m= \frac{4}{3}\\\\\\ \\(y-y')=m(x-x')\to\\\\( y-(-6))=\frac{4}{3}(x-(-1))\to \\\\y+6=\frac{4}{3}(x+1)\to \\\\y+6=\frac{4}{3}x+\frac{4}{3}\to\\\\ y+6-\frac{4}{3}x-\frac{4}{3}=0\to \\\\\\ y-\frac{4}{3}x+\frac{2}{3}=0$