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.
Algebra.Com
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:
--------------------
y-value of Q:
----------------------
the other endpoint is:
Q( 1, -2 )
----------------------
check:
and
OK
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