Hi.. I don't know if this is a good place to ask this question but I was doing a co-ordinate geometry problem and I couldn't solve it. Can someone help me please?

The problem is as follows:

"A, B and M are three points such that M is the midpoint of AB. The coordinates of A and M are (5,7) and (0,2) respectively. Find the coordinates of B."

I would really appreciate your help please. Thanks! :)

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## Comments

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TopNewestNotice that M is 5 units to the left of A and 5 units down from A therefore B should be likewise related to M.

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Let the coordinates of A, B and M be (x1,y1) (x2,y2) and (x',y'). By the midpoint formula, x' = (x1+x2)/2. 0 = (5+x2)/2. Therefore x2 = -5. Similarly y' = (y1+y2)/2. 2 = (7+y2)/2. Therefore y2 = -3. Hope this helped !

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