Question

a line that includes the points (-5, 0) and (q, -8) has a slope of -4 what is the value of q

Answer 1

The equation for the slope m is given by:
$m= \frac{y_2-y_1}{x_2-x_1}$
Using the points (-5,0) and (q,-8)

$x_1=-5 \\ x_2=q \\ y_1=0 \\ y_2=-8$

Applying the equation of the slope:
$m=-4= \frac{(-8-0)}{(q-(-5))} = \frac{-8}{q+5} \\ \\ -4(q+5)=-8 \\ -4q-20=-8 \\ -4q=12 \\ \\ q=-3$