Question

Find the equation (in terms of xx ) of the line through the points (-3,-3) and (4,2)

Answer 1

y = (5/7)x - 6/7

Explanation:

(-3, -3), (4, 2)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ 2 - (-3) 2 + 3 5

m = ------------ = ------------- = ----------- = ---------

x₂ - x₁ 4 - (-3) 4 + 3 7

y - y₁ = m(x - x₁)

y - (-3) = (5/7)(x - (-3)

y + 3 = (5/7)(x + 3)

y + 3 = (5/7)x + 15/7

-3 -3

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y = (5/7)x - 6/7

I hope this helps!