Posted by **Sahana E.** on Thursday, September 29, 2011 at 5:32pm.

Determine the coordinates of the endpoint of a segment CE with one endpoint at C(3,10) and a midpoint at (-1,-6).

Disclaimer: This is 10th grade geometry.

- Math -
**Steve**, Thursday, September 29, 2011 at 5:52pm
The midpoint is halfway from one end to the other. Just figure out ho wfar you've gone and go twice that far.

(-1,-6) - (3,10) = (-4,-16)

That is, you've added (-4,-16) to (3,10) to get to (-1,-6).

So, add it again:

(-1,-6) + (-4,-16) = (-5,-22)

- Math -
**Reiny**, Thursday, September 29, 2011 at 6:12pm
Let the endpoint be (x,y)

so ..

(x+3)/2 = -1 and (y+10)/2 = -6

x+3 = -2 and y+10 = -12

x = -5 and y = -22

endpoint is (-5,-22)

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