Find the coordinates of q, the other endpoint of the line segment , given p (8, 2) and m (2, 5), the midpoint.

From P to M the change on the x axis is 8-2 = 6 units
on the y axis 5-2 = 3 units 
The change on the x axis is negative, on the y axis it is positive. 

Now as M is the midpoint the change from P to M is the same as the change from M to Q. 

Thus M (2-6, 5+3) = (-4, 8)

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