Answer: 1) y = (-5/7)x + 11/7
2) y = (-1/4)x - 3
3) y = (1/2)x - 1
Step-by-step explanation:
Use the Point-Slope equation: y - y₁ = m(x - x₁) where
- (x₁, y₁) is a point on the line
- m is the slope
(x₁, y₁) = (-2, 3) m = -5/7
y - 3 = -5/7(x + 2)
y - 3 = (-5/7)x - 10/7
y = (-5/7)x + 11/7
(x₁, y₁) = (-4, -2) m = -1/4
y + 2 = -1/4(x + 4)
y + 2 = (-1/4)x - 1
y = (-1/4)x - 3
(x₁, y₁) = (2, 0) m = 1/2
y - 0 = 1/2(x - 2)
y - 0 = (1/2)x - 1
y = (1/2)x - 1
