Question

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

Answer 1

AP=2/7 AB.
AP=2/7(AP+PB,)
7AP=2AP+2PB
7AP-2AP=2PB
5AP=2PB
AP/PB=2/5
so P , divides AB in ratio 2:5 internally. using section formula coordinate of P are:
x=mx2+nx1)/m+n,y =my2+ny1)/m+n please solve now.