Answer:
The slope is: m = -²/₅
The y-intercept is: b = -2
The equation of the line: y = -²/₅x - 2
Step-by-step explanation:
The equation of a line in slope intercept form: y = mx + b
The slope: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
(-5, 0) ⇒ x₁ = -5, y₁ = 0
(0, -2) ⇒ x₂ = 0, y₂ = -2
So:
[tex]m=\dfrac{-2-0}{0-(-5)}=-\dfrac25[/tex]