Question

​Point RR lies on the directed line segment from L\left(-8,-10\right)L(−8,−10) to M\left(4,-2\right)M(4,−2) ​and partitions the segment in the ratio 33 to 55. ​ ​What are the ​coordinates of point RR? ​

Answer 1

The coordinates of point R of the given line segment are (-3.5, -7)

How to partition a line segment?

We are given the coordinates;

L (-8,-10) to M (4,-2)

We are told that they are partitioned in the ratio 3 to 5.

Thus;

The coordinates of R divide directed line segment from L (-8,-10) to M (4,-2) in ratio 3:5will be :

x = [3(4) + 5(-8)]/(3 + 5)

x = -3.5

y = [3(-2) + 5(-10)]/(3 + 5)

y = -7

Thus, the coordinates of point R are (-3.5, -7)

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