Respuesta :

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]