Let's begin by listing out the information given:
(x, y) = (4, -10), (0, 10)
We will proceed to calculate the Slope:
m = Δy/Δx = (10 - - 10)/(0 - 4) = -20/4 = -5 The general formula of a linear equation is given by: y = mx + b
We will pick one of the coordinates & substitute into the general equation, we have:
10 = -5(0) + b ⇒ b = 10
b = 10
The linear equation becomes:
y = -5x + 10