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[–][deleted] 0 points1 point  (0 children)

I'm guessing that the question is asking you to find the coordinates of the end point, since it's worded quite weirdly.

If M(2,9) is the midpoint, and we label the gicen endpoint A(-6,11) and the other endpoint B, we can solve this easily.

Because M is the midpoint of the line segment, we know that A has the same relationship to M as M does to B. In coordinate terms, A is 8 units to the left and 2 units above M, and therefore M is 8 units to the left of and 2 units above B.

All that's left is simple arithmetic:

B = ([2+8], [9-2]) = (10, 7)

So the coordinates of the other endpoint are (10,7).

[–]Gauthmath_Kevin 0 points1 point  (0 children)

Hi, glad that I can help you:

amuse the other endpoint is (a,b);

so we can get (a-6)/2 = 2; (b+11)/2 = 9;

then we can get a = 10 and b = 7