SOLUTION: P(-2,3), Q(8,-5) ... PQ = sqr164 and midpoint of PQ is sqr41; Find coordinates of R (x, y) if Q is midpoint of PR.

Question 1184968: P(-2,3), Q(8,-5) ... PQ = sqr164 and midpoint of PQ is sqr41;
Find coordinates of R (x, y) if Q is midpoint of PR.
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

P(,), Q(,)
and
midpoint of PQ is sqr(41)

Find coordinates of
R(, ) if is midpoint of

P(,).......................Q(,) .......................R(, )

is midpoint
(,)=(,()

R (, )

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

You should know how to use the midpoint formula, as the other tutor did, to get the answer to the problem. However, plugging numbers into a formula doesn't teach you much.

You will learn a lot more by solving the problem using common sense; doing so should help you UNDERSTAND the midpoint formula.

Imagine you are walking from P towards R and when you reach Q you are halfway there.

In going halfway from P to R, you have gone from x=-2 to x=8, a change of 10 units; to go the other half of the way you need to go another 10 units in the x direction, which will put you at x=18.

And in going halfway from P to R, you have gone from y=3 to y=-5, a change of -8 units; to go the other half of the way you need to go another -8 units in the y direction, which will put you at y=-13.

So the end of your journey is at (18,-13).

ANSWER: R is (18,-13)

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