SOLUTION: M(-2,-2) is the midpoint of RS. If S has coordinates (2,2) find the coordinates of R. Creating a graph I get (-6, -2). If that's correct is there an equation I can follow to

Algebra ->  Coordinate-system -> SOLUTION: M(-2,-2) is the midpoint of RS. If S has coordinates (2,2) find the coordinates of R. Creating a graph I get (-6, -2). If that's correct is there an equation I can follow to       Log On


   



Question 124446: M(-2,-2) is the midpoint of RS. If S has coordinates (2,2) find the coordinates of R.
Creating a graph I get (-6, -2). If that's correct is there an equation I can follow to get to the answer?
Thanks for your help!

Found 2 solutions by stanbon, checkley71:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
M(-2,-2) is the midpoint of RS. If S has coordinates (2,2) find the coordinates of R.
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The mid-point has coordinates which are the average of the coordinates
of the end points.
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Let the coordinates of R be (x,y)
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EQUATIONS:
(x+2)/2 = -2
x+2 = -4
x = -6
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(y+2)/2 = -2
y+2 = -4
y = -6
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R has coordinates (-6,-6)
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Cheers,
Stan H.

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
I BELIEVE YOUR GRAPH IS INCORRECT AS I GET THE POINT FOR R=(-6,-6).
THE DIFFERENCE BETWEEN (-2,-2) & (2,2) IS:
+4 & +4.
SO WE SUBTRACT 4 & 4 FROM THE POINTS (-2-4) & (-2-4) & WE GET -6 & -6 FOR THE LOCATION OF R.
RECHECK YOUR GRAPH & YOU SHOULD GET (-6,-6).