Line segment AB has endpoints A(1,8) and B(7,−4). What are the coordinates of the point located 1/6 of the way from A to B?

Answer 1

(2,6)

1/6 of the difference in x values = (1/6)(7-1) = 1. add 1 to 1 = 2

1/6 the difference in y values = (1/6)(-4-8) = -2 add -2 to 8 = 6

Answer 2

A graphical solution is shown in this video. Enjoy!!!