Geometry question that's too hard for me to understand

Question

please help me with this i don't get it

Find the coordinates of point P along directed line segment AB with A(-4,8) and B(16, -2), so that the ratio of AP to PB is 3 to 2.

Answer 1

Point B is 20 units right and 10 units down from point A. You want to locate a point that is 3 / (3+2) = 3/5 of the way from A to B.

x = -4 + (20 * 3/5) = -4 + 12 = 8

y = 8 + (-10 * 3/5) = 8 - 6 = 2

(8,2)