What are the coordinates of the point on the directed line segment from (-2,6) to (3,-9) that partitions the segment into a rati
o of 3 to 2?
1 answer:
9514 1404 393
Answer:
(1, -3)
Step-by-step 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)
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