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.

Step-by-step explanation:

Given

X (1, −2) and Y (10, 3)

Ratio of point M; m:n = 5:1

Required

Find the coordinates of M

When a line is divided in ratios, the coordinates of the line is calculated by

Where;

The equation becomes

Hence, the coordinates of point M is;

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step-by-step explanation: