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)