Question

What are the coordinates of the point on the directed line segment from (-2,6) to (3,-9) that partitions the segment into a ratio of 3 to 2?

Answer 1

9514 1404 393

Answer:

(1, -3)

Explanation:

The point P that partitions AB into the ratio m:n is ...

P = (mB +nA)/(m+n)

The point you're looking for is ...

P = (3(3, -9) +2(-2, 6))/(3+2) = (9-4, -27+12)/5 = (5, -15)/5

P = (1, -3)