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(39616)   (Show Source): You can put this solution on YOUR website!
Other point is unknown (x,y).

Use midpoint formula.

and ;
solve for x and solve for y.
Answer by MathTherapy(10551)   (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: ;, with:

, , , and  being, 6, 8, 3, and 2, respectively.



Therefore, ; becomes: ;

We now have:  ------ Cross-multiplying

_____



 ------ Cross-multiplying

_____

Other end-point: (, ) 

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