Line segment AB has endpoints A(-1, 2) and B(7, 8). Point P is on line segment AB and is located at P(5/3, 4). What is the ratio of AP/AB?

Question

Line segment AB has endpoints A(-1, 2) and B(7, 8). Point P is on line segment AB and is located at P(5/3, 4). What is the ratio of AP/AB?

Answer 1

If A(a,b) and B(c,d) are the co-ordinates of a line segment, then

[a(1-p)+pb,c(1-p)+dp] are the co-ordinates of the point which divides the segment into pieces in ratio p:(1-p), where 0<p<1.

You should use this information to solve your problem where p=.2.