Question

A point M on a segment with endpoints X (1, −2) and Y (10, 3) partitions the segment in a 5:1 ratio. Find M. You must show all work to receive credit.

Answer 1

The coordinate for the point M is (51/6, 13/6) if the point M on a segment with endpoints X (1, -2) and Y (10, 3) partitions the segment in a 5:1 ratio.

How to explain the information?

We have a line segment: XY with end coordinates X(1, -2) and Y(10, 3)

The coordinate for the point M:

x = (1+50)/6 = 51/6

y = (-2+15)/6 =  13/6

Thus, the coordinate for the point M is (51/6, 13/6) if the point M on a segment with endpoints X (1, -2) and Y (10, 3) partitions the segment in a 5:1 ratio.

Learn more about the segment here:

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