Answer:
y = -5x + 1
Explanation:
The point-slope form of the equation of a line: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.
m = -5
(2, -9) ⇒ x₁ = 2, y₁ = -9
So:
y - (-9) = -5(x - 2) ← the point-slope form of the equation
y + 9 = -5x + 10 {subtract 9 from both sides}
y = -5x + 1 ← the slope-intercept form of the equation