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Mrrafil [7]
3 years ago
7

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?
Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0

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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\boxed{m = - \frac{33}{14} }

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Step-by-step explanation:

Use the form below

\boxed{\boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }}

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