Question

given point A (- 6, - 3) and point B (10, 9) determine the x-coordinate of point P along the directed line segment AB so that the ratio of AP to PB is 1:3

Answer 1

(10 - (-6))/3 = 16/3 = 5 1/3

-6 + 5 1/3 = -2/3

This x-coordinate is -2/3.