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

Question

A. (-5,15)

B. (-9,19)

C. (-6,14)

D. (-4.5,9.5)

Answer 1

Draw a picture!!

You have a line segment that goes from (-1,-1) to (-8,20). Going from F to H, the x distance is -7 and the y distance is +21.

To get the stated point, the distance from F to G is 5/2 times the distance from F to H. This is true along the line, and also along either the x or y axis.