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.Com
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)   (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

RELATED QUESTIONS

point m is located at (-1,3) and point n is located at (3,9) Find the midpoint of line... (answered by Fombitz)
For the point P(15,13) and Q(22,18)​, find the distance​ d(P,Q) and the... (answered by ikleyn)
Find the equation that is satisfied by the coordinates of each point. A rod PQ of the... (answered by Fombitz)
The midpoint of segment AB is M(3, 4). The coordinates of point A are (-2, 7). Find the... (answered by stanbon)
For the point P(9,12) and Q (14,17)​, find the distance​ d(P,Q) and the... (answered by josgarithmetic)
point r is located at the origin. point s is located at (20,0). point t is the midpoint... (answered by josgarithmetic)
The midpoint of the line segment PQ is (5, 1). If P is (8, 4), find the point Q. (answered by Cromlix,psbhowmick)
If M (5,2) is the midpoint of segment PQ and the coordinates of Q are (3,-3), find the... (answered by fractalier)
If M(-4, 2) is the midpoint of segment PQ and the coordinates of P are (-6,6) find the... (answered by jim_thompson5910)