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 i need help please you will get 80 points

(8½, 2⅙)

Step-by-step explanation:

M partitions the segment in a 5:1 ratio, which means M is ⅚ of the way between X and Y.

The x-coordinate is:

1 + ⅚ (10 − 1) = 8½

The y-coordinate is:

-2 + ⅚ (3 − (-2)) = 2⅙

So M is at (8½, 2⅙).