Line segment AB has endpoints B(−3,0) and A(5,4). What are the coordinates of the point located 1/4 of the way from B to A?

Answer 1

Consider C a point located 1/4 distance from B to A and D middle point from A to B. Note that C midpoint of BD

First, find coordinates of point D using midpoint formula (D is middle of AB)

Second, find coordinates of point C using midpoint formula (C is middle of BD)

Answer 2

-3 + (1/4)(5--3) = -3 +2 = -1

0 + (1/4)(4-0) = 0 + 1 = 1

the point is (-1,1)