Question

Escreva a equação reduzida da reta que passa pelos pontos: E(-12,-7) e F(-5,2). Calculo.

Answer 1

$E~(-12~;~-7)~~~e~~~F~(-5~;~2)\\\\\\ m= \dfrac{y_2-y_1}{x_2-x_1} \to~~~ m= \dfrac{2-(-7)}{-5-(-12)} \to\\\\ m= \dfrac{2+7}{-5+12} \to~~~ \boxed{m= \dfrac{9}{7} }$


$(y-y_{\°})=m(x-x_{\°})\\\\ Usando~~~o~~~ponto~~~F~(-5~;~2):\\\\\\(y - 2)= \dfrac{9}{7} (x-(-5))\to~~~ y - 2= \dfrac{9}{7} (x+5)\to\\\\ y - 2= \dfrac{9}{7} x +\dfrac{45}{7} \to~~~ 7y - 14= 9x +45\to\\\\ 7y = 9x +45+14\to~~~ 7y = 9x + 59\to\\\\ \large\boxed{y= \dfrac{9x+59}{7} }$