Respuesta :

Answer:

The answer to your question is [tex]m = - \frac{4}{7}[/tex]

Step-by-step explanation:

Process

1.- Find two points of the line (red points)

   A ( 4, -5)  and B (- 3 , -1)

2.- Find the slope using the formula

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

  Substitution

   [tex]m = \frac{-1 + 5}{-3 - 4}[/tex]

   [tex]m = - \frac{4}{7}[/tex]