SOLUTION: M is the midpoint of PQ. If (-5, 4) and (-2, 1) are the coordinates of P and M respectively, find the coordinates of Q.

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Question 1126667: M is the midpoint of PQ. If (-5, 4) and (-2, 1) are the coordinates of P and M respectively, find the coordinates of Q.
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

The -coordinate of the midpoint of a segment is given by:

The -coordinate of the midpoint of a segment is given by:

You are given the points and . Substitute the values and then solve the resulting equations for and

John

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

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
P( -5, 4 )
M( -2, 1 )
Let the coordinates of Q be ( x1, y1 )
x-value of Q:

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y-value of Q:

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the other endpoint is:
Q( 1, -2 )
----------------------
check:

and

OK