Respuesta :

Answer:

The answer to your question is m = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Process

1.- Get to points of the line (points  in red)

A (-2, 3)  and B (-5, -2)

2.- Find the slope of the line using the formula

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

Substitution

    [tex]m = \frac{-2 - 3}{-5 + 2}[/tex]

    [tex]m = \frac{-5}{-3}[/tex]

Result

    [tex]m = \frac{5}{3}[/tex]

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