Given the points m(-3,-4) and t(5,0).find the coordinates of the point q on directed line segment mt that partitions mt in the ratio 2: 3

The coordinates of point Q are .

Let be M and T two Endpoints of a Line Segment divided at a Ratio a : b. By Geometry and Linear Algebra we know that the location of the Point Q by means of the following expression:

(1)

(2)

(3)

By (3), we have:

If we know that , , and , then the coordinates of point Q that partitions MT in the ratio 2 : 3 is:

The coordinates of point Q are .

Please see this question related to Segment Partition: link

Using line segments, it is found that the point is

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The coordinates are

A similar problem is given at link

answer:   14

step-by-step explanation:          

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