Question

Equação da reta que passa. Pelos pontos (2,-3) e (8,1) é ??? Cálculo

Answer 1

A(2 ; -3)  e  B(8 ; 1)

Coeficiente Angular:

$m= \dfrac{y_2-y_1}{x_2-x_1} \to~~m= \dfrac{1-(-3)}{8-2} \to~~m= \dfrac{1+3}{8-2} \to~~m= \dfrac{4}{6} \to\\\\ \boxed{m= \frac{2}{3} }$


Fórmula ---> (y - y°) = m (x - x°) 

$(y-1)= \dfrac{2}{3} (x-8)\to\\\\ y-1= \dfrac{2x-16}{3} \to~~mmc=3\\\\ 3y-3=2x-16\to\\\\ 3y-2x-3+16=0\to\\\\ \large\boxed{3y-2x+13=0\to~~Geral}\\\\\\ \large\boxed{3y=2x-13\to~~Reduzida}$