Find the coordinates of point G that lies along the directed line segment from F(-1, -1) to H(-8, 20) and partitions the segment in the ratio of 5:2.

Answer 1

Since the segment is being divided in the ratio 5:2, it is being divided into 7 (5+2) parts. We are looking for the point on FH that is 5/7 of the way from F to H.

x-coordinate of G = -1 + (5/7)(change in x from F to H) = -1 + (5/7)(-7) = -6

y-coordinate of G = -1 + (5/7)(change in y from F to H) = -1 + (5/7)(21) = 14

G = (-6,14)