A point M on a segment with endpoints X(1, −2) and Y(10, 3) partitions the segment in a 4:1 ratio. Find M. You must show all work to receive credit. (10 points)

Answer 1

M is 4/5 of the distance from (1,-2) to (10,3).

To find M x and y coordinates 4/5 of distance between (x1,y1) and (x2,y2):

x = (x2 - x1) * 4/5 + x1

y = (y2 - y1) * 4/5 + y1

For this problem (x1,y1) = (1,-2) and (x2,y2) + (10.3)