SOLUTION: What is the other endpoint if the midpoint is (3,2) and the endpoint is (6,8)

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Question 893767: What is the other endpoint if the midpoint is (3,2) and the endpoint is (6,8)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Other point is unknown (x,y).

Use midpoint formula.

%28x-6%29%2F2=3 and %28y-8%29%2F2=2;
solve for x and solve for y.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
What is the other endpoint if the midpoint is (3,2) and the endpoint is (6,8)


Since we have the coordinates of the midpoint, we use the midpoint formula: %28x%5B1%5D+%2B+x%5B2%5D%29%2F2;%28y%5B1%5D+%2B+y%5B2%5D%29%2F2, with:

x%5B1%5D, y%5B1%5D, %28x%5B1%5D+%2B+x%5B2%5D%29%2F2, and %28y%5B1%5D+%2B+y%5B2%5D%29%2F2 being, 6, 8, 3, and 2, respectively.



Therefore, %28x%5B1%5D+%2B+x%5B2%5D%29%2F2;%28y%5B1%5D+%2B+y%5B2%5D%29%2F2 becomes: %286+%2B+x%5B2%5D%29%2F2+=+3;%288+%2B+y%5B2%5D%29%2F2+=+2

We now have: 6+%2B+x%5B2%5D+=+6 ------ Cross-multiplying

x%5B2%5D+=+6+-+6_____x%5B2%5D+=+0



8+%2B+y%5B2%5D+=+4 ------ Cross-multiplying

y%5B2%5D+=+4+-+8_____y%5B2%5D+=+-+4

Other end-point: (highlight_green%280%29, highlight_green%28-+4%29)