If A and B are (-2, -2) and (2, -4), respectively, find the coordinates of P such that AP = 3/7 AB and P lies on the line segment AB.

Solution:

Points A and B have coordinates of (-2,-2) and (2,-4) respectively. Because AP = 3/7, AB

As a result, AP: PB = 3:4

The line segment AB is divided in 3:4 by point P.

Coordinate of P is the needed answer.