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

The equation for the slope m is given by :

<img src="https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20" />

Using the points ( - 5, 0) and (q, - 8)

<img src="https://tex.z-dn.net/?f=x_1%3D-5%20%5C%5C%20x_2%3Dq%20%5C%5C%20y_1%3D0%20%5C%5C%20y_2%3D-8%0A" />

Applying the equation of the slope :

<img src="https://tex.z-dn.net/?f=m%3D-4%3D%20%5Cfrac%7B%28-8-0%29%7D%7B%28q-%28-5%29%29%7D%20%3D%20%5Cfrac%7B-8%7D%7Bq%2B5%7D%20%20%5C%5C%20%20%5C%5C%20-4%28q%2B5%29%3D-8%20%5C%5C%20-4q-20%3D-8%20%5C%5C%20-4q%3D12%20%5C%5C%20%20%5C%5C%20q%3D-3" />.