Question

Find the coordinates of point P along directed line segment AB with A(-4, 8) and B(16, -2). so that the ratio of AP to PB is 3 to 2.

Answer 1

P = (8,2)

Explanation:

Since 3+2 = 5, we are dividing line segment AB into 5 congruent parts with point P 3/5 of the way from A to B.

x-coordinate of P = x-coordinate of A + (3/5)(change in x from A to B) = -4 + (3/5)(20) = 8

y-coordinate of P = y-coordinate of A + (3/5)(change in y from A to B) = 8 + (3/5)(-10) = 2

P = (8,2)