Question

What is the equation of a line in slope- intercept form that passes through the points (-2, 11) and (4, 14).

Answer 1

y = (1/2)x + 12

Explanation:

(-2, 11), (4, 14)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ 14 - 11 3 3 1

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

x₂ - x₁ 4 - (-2) 4 + 2 6 2

y - y₁ = m(x - x₁)

y - 11 = (1/2)(x - (-2))

y - 11 = (1/2)(x + 2)

y - 11 = (1/2)x + 1

+11 +11

-------------------------------

y = (1/2)x + 12

I hope this helps!