SOLUTION: Point M is the midpoint of segment of PQ. Point S is located 3/4 of the way from M to Q. Find the coordinates of Point S.

Algebra ->  Points-lines-and-rays -> SOLUTION: Point M is the midpoint of segment of PQ. Point S is located 3/4 of the way from M to Q. Find the coordinates of Point S.      Log On


   

Question 1032331: Point M is the midpoint of segment of PQ. Point S is located 3/4 of the way from M to Q. Find the coordinates of Point S.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Since you did not provide the coordinates of points and , this question can only be answered in terms of the general coordinates of these points.

This is simply an exercise in repeated application of the midpoint formulas.

and



See diagram (note the addition of point N which is the midpoint of MQ):



and



Then

and



Following the same pattern you end up with:

and



I'll let you verify the arithmetic for yourself.

In general, if S were some fractional distance from P to Q, say , the coordinates of S, in terms of the coordinates of P and Q would be:

and



John

My calculator said it, I believe it, that settles it