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yulyashka [42]
3 years ago
14

What is the equation in point−slope form of the line passing through (−2, −5) and (2, 3)?

Mathematics
1 answer:
Sloan [31]3 years ago
8 0
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

Answer: 

C. The equation is y-3 = 2(x-2)


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