Examples of Math Problems: A line segment has a midpoint of (–3, 2) and an endpoint of (–6, 4). What is the other endpoint of the line segment?

Friday, May 17, 2013

A line segment has a midpoint of (–3, 2) and an endpoint of (–6, 4). What is the other endpoint of the line segment?

The midpoint coordinates are:

%0D%0Ax%5Bm%5D=%28x%5B1%5D%2Bx%5B2%5D%29%2F2%0D%0A

%0D%0Ax%5Bm%5D=%28x%5B1%5D%2Bx%5B2%5D%29%2F2%0D%0A

%0D%0Ay%5Bm%5D=%28y%5B1%5D%2By%5B2%5D%29%2F2%0D%0A

Substituting...

%0D%0A-3=%28-6%2Bx%5B2%5D%29%2F2%0D%0A

%0D%0A-3=%28-6%2Bx%5B2%5D%29%2F2%0D%0A

%0D%0A2=%284%2By%5B2%5D%29%2F2%0D%0A

After simplifying we get (0,0)

:)

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