SOLUTION: a circle has a diameter with endpoints (5, -2) and (-13 -6) what are the coordinates of the center of the circle

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Question 449831: a circle has a diameter with endpoints (5, -2) and (-13 -6) what are the coordinates of the center of the circle
Found 3 solutions by mananth, ikleyn, mccravyedwin:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
If the coordinates of A and B are ( x1, y1) and ( x2, y2) respectively, then the midpoint, M, of AB is given by the following formula M =%28x1%2Bx2%29%2F2%28y1%2By2%29%2F2
(5,-2)(-13,-6)
x=(5-13 )/2,y=(-2-13)/2
x= -4,y= -7.5

Answer by ikleyn(53742) About Me  (Show Source):
You can put this solution on YOUR website!
.
A circle has a diameter with endpoints (5, -2) and (-13 -6) what are the coordinates of the center of the circle
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        The solution by @mananth is INCVORRECT.
        I came to bring a correct solution. 


If the coordinates of A and B are (x1,y1) and (x2,y2) respectively, then the midpoint, M, of AB is given by the following formula 												


    M = (%28x1%2Bx2%29%2F2, %28y1%2By2%29%2F2)											

		
    x = %285%2B%28-13%29%29%2F2,  y = %28-2+%2B+%28-6%29%29%2F2.

													
ANSWER.  x = -4,  y =  -4.

Solved correctly.



Answer by mccravyedwin(420) About Me  (Show Source):
You can put this solution on YOUR website!
If the coordinates of A and B are ( x1, y1) and ( x2, y2) respectively, then the midpoint, M, of AB is given by the following formula M =%28x1%2Bx2%29%2F2%28y1%2By2%29%2F2
(5,-2)(-13,-6)
x=(5-13 )/2,y=(-2-13)/2
x= -4,y= -7.5 
Correction to mananth(16949)'s solution. She used -13, which was x2 
where she should have used -6, which was y2.  So her corrected solution is

If the coordinates of A and B are ( x1, y1) and ( x2, y2) respectively, then the midpoint, M, of AB is given by the following formula M =%28x1%2Bx2%29%2F2%28y1%2By2%29%2F2
(5,-2)(-13,-6)
x=(5-13 )/2,y=(-2-6)/2
x= -4,y= -4 
Edwin