SOLUTION: find the equation of a circle that has a diameter with the endpoints given by the points A(6,7) and B(-5,-8)

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Question 946894: find the equation of a circle that has a diameter with the endpoints given by the points A(6,7) and B(-5,-8)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
To find the center, average x and y.
h=%286-5%29%2F2=1%2F2
k=%287-8%29%2F2=-1%2F2
Find the distance between the points to get the diameter and then radius.
D%5E2=%286-%28-5%29%29%5E2%2B%287-%28-8%29%29%5E2
D%5E2=%2811%29%5E2%2B%2815%29%5E2
D%5E2=121%2B225
D%5E2=346
D=sqrt%28346%29
R=sqrt%28346%29%2F2
R%5E2=346%2F4
R%5E2=173%2F2
So then,
highlight%28%28x-1%2F2%29%5E2%2B%28y%2B1%2F2%29%5E2=173%2F2%29