Question

Write an equation in slope-intercept form of the line that passes through (2,-2) and slope of -4

Answer 1

y = - 4x + 6

Explanation:

Starting with the point-slope form of the equation {y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope}:

m = -4

(2, -2) ⇒ x₀ = 2, y₀ = -2

So, the point-slope form of the equation:

y + 2 = -4(x - 2)

Therefore:

y + 2 = - 4x + 8 {subtract 2 from both sides}

y = - 4x + 6 ← the slope-intercept form of the equation