What are the coordinates of the point on the directed line segment from ( − 4 , 7 ) (−4,7) to ( 9 , 5 ) (9,5) that partitions the segment into a ratio of 4 to 1?

Answer 1

Let P be the point. P is 4/5 (5 = 4+1) of the distance from (-4,7) to (9,5)

As we move along the line segment from (-4,7) to (9,5), x increases by 13 and y decreases by 2.

x-coordinate of P = -4 + 4/5(13) = 6.4

y-coordinate of P = 7 - 4/5(2) = 5.4

P = (6.4, 5.4)