Question

What are the coordinates of the point on the directed line segment from (-8, -10)(−8,−10) to (6, -6)(6,−6) that partitions the segment into a ratio of 3 to 1?

Answer 1

Total parts = 3 + 1 = 4

The point would be 3/4 away from the first point.

On the x axis from -8 to 6 is 14 units

On the y axis from -10 to -6 is 4 units

14 x 3/4 = 10.5

4 x 3/4 = 3

-8 + 10.5 = 2.5

-10 + 3 = -7

The point would be at (2.5,-7)