Question

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.

Answer 1

This makes sense. Thanks, but how does the ratio fit in?

Answer 2

m=4n or n=4m

Answer 3

If the segment is named XY, then XM:MY=4:1, along the direction of the segment.
In this case, you can only \(assume\) that the segment is named XY.

Answer 4

m=4,n=1
x1=1
,x2=10
y1=-2
y2=3
substitute , find x and y.