SOLUTION: Find the coordinates of Q given the M is the midpoint of PQ. P(6,-2),M(0,5),Q(?,?) Thanks for your help.

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Question 924137: Find the coordinates of Q given the M is the midpoint of PQ. P(6,-2),M(0,5),Q(?,?) Thanks for your help.
Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
P(6, -2)
Q(x, y) M(0,5): ( , )
Q(-6, 12)

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
P(6,-2),M(0,5),Q(x2,y2)

Since formula for midpoint is:
and
Then formula for and is:


where is the coordinate of the , and the coordinate of the
so, we have:








so, Q(x2,y2)=Q(-6,12)
Checking:
and
and
and
and
= ,
We got the right midpoint.
Thus, the coordinates of Q are (,)

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