Respuesta :

Answer:

A

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 8) and (x₂, y₂ ) = (3, - 2)

m = [tex]\frac{-2-8}{3+2}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2

(a, b) can be any of the 2 given points

Using (a, b) = (- 2, 8), then

y - 8 = - 2(x - (- 2)), that is

y - 8 = - 2(x + 2)