Respuesta :

Answer:

The answer to your question is [tex]y = \frac{-1}{2} x - 1[/tex]

Step-by-step explanation:

Process

1.- Get to points of the line

    A (-2, 0)

    B (0, -1)

2.- Find the slope of the line

Slope = m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

Substitution

             m = [tex]\frac{-1 - 0}{0 + 2} = \frac{-1}{2}[/tex]

3.- Find the equation of the line

              y - y1 = m(x - x1)

Substitution

              y - 0 = -1/2(x + 2)

Simplification

                   y = -1/2x - 1