Given the slope and a point below;

By using the point-slope equation formula as described below

We can obtain the equation of the line with the above formula, we will have to substitute for y1, x1 and m. This process is shown below;

By using distributive property, we can remove the bracket and simplify to obtain the equation

Hence, the equation of the line with slope of 4 and passing through the point (-8 , 12) is y = 4x + 44