Answer:
y = -3 - x
Explanation:
Given coordinates A(-6, 3) B(2, -5)
x₁ = -6, y₁ = 3, x₂ = 2, y₂ = -5
Using gradient in two points form = gradient in one point form, we have,
(y₂ - y₁)/(x₂ -x₁) = (y - y ₁)/(x - x ₁)
(-5 - 3)/(2 - - 6) = (y - 3)/(x - - 6)
-8/8 = (y - 3)/(x + 6)
y - 3 = -1(x + 6)
y - 3 = -x - 6
y + x = -6 + 3
y + x = -3
y = -3 - x
