MyNameIsIkea MyNameIsIkea

17-09-2018
Mathematics

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The midpoint of segment PQ is (10, -3) and the coordinates of point P are (-9, 7). What are the coordinates of point Q?

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sqdancefan sqdancefan

17-09-2018

The midpoint is the average of the two end points:

... M = (P + Q)/2

We can solve this for Q.

... 2M = P + Q

... Q = 2M - P

Filling in your values, we get

... Q = 2(10, -3) - (-9, 7) = (20-(-9), -6-7)

... Q = (29, -13)

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