Respuesta :

Answer:

Step-by-step explanation:

Use the slope formula:

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

where m = slope

Given the coordinates

(-4, 4) ---> this means x1 = -4 , y1 = 4

(2, -5) ---> this means x2 = 2 , y2 = -5

Substitute these values into the slope formula:

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

[tex]m = \frac{-5 -4}{2 - (-4)} = \frac{-9}{2+4} = \frac{-9}{6} = \frac{-3}{2}[/tex]