Answer:
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