Question

What are the coordinates of the point on the directed line segment from (-7,-9) to (-2,4) that partitions the segment into a ratio of 1 to 4?

Answer 1

P1 = (-7, -9)

P2 = (-2, 4)

ratio = 1/4

x = (-7 + 0.25(-2))/(1 + 0.25)

= (-7 - 0.5) / 1.25

= -7.5/1.25

= -6

y = (-9 + 0.25(4)) / (1 + 0.25)

y = (-9 + 1) / 1.25

y = -8/1.25

y = 6.4

The coordinate sof the point are (-6, 6.4)