slope is (y2-y1)/(x2-x1), so we plug in the values. (-4-y)/(0 - (-2)). so we get -4-y/2 since zero minus negative 2 is positive 2. given the slope is -13/2, -4-y must be equal to negative 13. So we set an equation of -13 = -4 - y. We add 4 to 13, and get -9 = -y. We multiply each side by a -1, and we get y equals 9.
We can check this by plugging 9 back into our original slope equation. (-4-9)/(0-(-2) which gives us -13/2.
