M is the midpoint of AB M is (7, 2) and A is (6, 7), find the coordinates of B

Answer 1

Hi Ashley,

There are a couple ways to solve this problem. One is more with using a formula, and the other is using logic. I personally like the logic based one, so let me explain:

If A is at (6,7) and you are traveling to B (whose coordinates are unknown), you know that halfway is M at (7,2). So, figure out what you did to get from point A to point M.

You must have traveled 1 unit to the right, and 5 units down to go from (6,7) to (7,2).

As M is exactly halfway between A and B, you can repeat those steps from point M and you should wind up at point B.

So from M (7,2) if you travel 1 unit right and 5 units down, you wind up at B (8, -3).

I hope this helps!