Question

Determine a equacao reduzida da recta que passa pelos pontos A(-1,3) e B(2,5)

Answer 1

$\text{Coeficiente angular:}\\\\m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{5 - 3}{2 -(-1)} = \dfrac{2}{3}\\\\\text{Assim:}\\\\(y-y_1)=m(x-x_1)\\y-3=\dfrac{2}{3}(x+1)\\3y-9=2(x+1)\\3y = 2x + 2 + 9\\\boxed{y = \dfrac{2}{3}x + \dfrac{11}{3}}$