SOLUTION: If M(-4, 2) is the midpoint of segment PQ and the coordinates of P are (-6,6) find the coordinates of Q.

Question 148528: If M(-4, 2) is the midpoint of segment PQ and the coordinates of P are (-6,6) find the coordinates of Q.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Since M(-4,2)is the midpoint, this means that the midpoint coordinates are and

So the formula for the midpoint of the x-coordinate is:

Plug in and (this is from point P). Note: is the x-coordinate for the point Q

Multiply both sides by 2.

Add 6 to both sides.

So the x-coordinate for point Q is

------------

Now the formula for the midpoint of the y-coordinate is:

Plug in and (this is from point P). Note: is the y-coordinate for the point Q

Multiply both sides by 2.

Subtract 6 from both sides.

So the y-coordinate for point Q is

So the point Q is (-2,-2)

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