Question

determine a equaçao da reta que a passa pelos pontos (-2 7) e (3 6)

Answer 1

y = mx + b

m = 1 / 5

substituindo:

6 = 1/3 * 3 + b
b = 6 -1
b = 5

montando

y  =x/5 + 5

Answer 2

Pontos  (-2 ,7 ) e (3,6)

coeficiente angular

$m= \frac{y_2-y_1}{x_2-x_1} = \frac{6-7}{3-(-2)} =- \frac{1}{3+2} =- \frac{1}{5} \\ \\ y-y_0=m(x-x_0) \\ \\ P(3,6) \\ \\ y-6=- \frac{1}{5} (x-3) \\ \\ 5y-30=-(x-3) \\ \\ 5y-30=-x+3 \\ \\ 5y=-x+3+30 \\ \\ 5y=-x+33 \\ \\ y=- \frac{x}{5} + \frac{33}{5}$