Answer: y = x - 1
Step-by-step explanation:
Use the Point-Slope form: y - y₁ = m(x - x₁) where
- (x₁ , y₁) is any point on the line
- m is the slope of the line
[tex]\text{Slope (m)}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Let (x₁, y₁) = (2, 1) and (x₂, y₂) = (-4, -5)
[tex]m=\dfrac{-5-1}{-4-2}\quad =\dfrac{-6}{-6}\quad =1[/tex]
Point-Slope form: y - 1 = 1(x - 2)
y - 1 = x - 2 distributed 1 to (x - 2)
y = x - 1 added 1 to both sides
