Answer: see below
Step-by-step explanation:
Use the slope (m) formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Let (x₂, y₂) = (2, -1) and (x₁, y₁) = (0, 3)
[tex]m=\dfrac{-1-3}{2-0}=\dfrac{-4}{2}=-2[/tex]
Use the Point-Slope form y - y₁ = m(x - x₁) where m = -2 & (x₁, y₁) = (0, 3):
y - 3 = -2(x - 0) --> y - 3 = -2x
Use the Point-Slope form y - y₁ = m(x - x₁) where m = -2 & (x₁, y₁) = (2, -1):
y - (-1) = -2(x - 2) --> y + 1 = -2(x - 2)
