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.
Please help me through.

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. You must show all work to receive credit. 
Please help me through.

anonymous · Answer

@nincompoop help?

mrnood · Answer

|dw:1434449280813:dw|

If the lengths are in 1:4 ratio then the line is divided into 1/5 and 4/5

You can see that this is also true of the 'x' side, and the 'y' side

So find the length of the 2 sides and divide them by 5

you can see how to get M by adding 4/5 of the length to the starting point....