What are the coordinates of the point on the directed line segment from (−1,−8) to (−1,7) that partitions the segment into a ratio of 2 to 3?

Answer 1

Since the x-coordinates are the same, the segment s vertical and the x-coordinate of the desired point

is also -1.

As we move along the segment from (-1, -8) to (-1,7), y increases by 15. Since 2+3=5, we are partitioning the segment into 5 equal sections each of which has length 15/5 = 3

So, the desired point is (-1, -8 + 2(3)) = (-1, -2)