Question

PLEASE ANSWER ASAP!!!!!! I WILL LOVE FOREVER LOL!!!

2. If the slope is 5 and the line passes through (-2, -3), what is the equation of the line in point-slope form? *

A.y + 3 = 5(x + 2)
B.y - 3 = 5(x + 2)
C.y + 3 = 5(x -2)
D.y -3 = 5(x - 2)

Answer 1

A. y + 3 = 5(x+2)

Answer 2

Point-slope form: y - y₁ = m(x - x₁)

(m is the slope, (x₁, y₁) is the point you are given that is on the line)

You know:

m = 5

(x₁, y₁) = (-2, -3) So substitute/plug it into the equation

y - y₁ = m(x - x₁)

y - (-3) = 5(x - (-2)) (two negative signs cancel each other out and become positive)

y + 3 = 5(x + 2) Your answer is A