What is the equation in point−slope form of the line passing through (−2, −5) and (2, 3)?
(a. y+2 = -2(x+5); b. y-2 = 2(x-3); c. y-3 = 2(x-2); d. y+3 = -2(x+2))

Hi,

m = (y-y₀)/(x-x₀)
m = (-5-3)/(-2-2)
m = -8/-4
m = 2

For point (2,3) ⇒ x₀ = 2 and y₀ = 3

y-y₀ = m(x-x₀)
y-3 = 2(x-2)

For point (-2,-5) ⇒ x = -2 and y = -5

-5-3 = 2(-2-2)
-8 = 2(-4)
-8 = -8 ⇒ True

 

C. The equation is y-3 = 2(x-2)

I’m sure you could google it. my profile picture might