SOLUTION: Find the standard form of a sphere which A(8,-2,5) and B(6,4,-1) are endpoints of a diameter.

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Question 619258: Find the standard form of a sphere which A(8,-2,5) and B(6,4,-1) are endpoints of a diameter.
Answer by Alan3354(69443) About Me  (Show Source):
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Find the standard form of a sphere which A(8,-2,5) and B(6,4,-1) are endpoints of a diameter.
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Find the center by finding the average of x, y & z separately.
x: (8+6)/2 = 7
y: (-2+4)/2 = 1
z: (5-1)/2 = 2
Center at (7,1,2)
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r = the distance from the center to either point
r%5E2+=+diffz%5E2+%2B+diffy%5E2+%2B+diffx%5E2+=+3%5E2+%2B+3%5E2+%2B+1%5E2+=+19
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%28x-7%29%5E2+%2B+%28y-1%29%5E2+%2B+%28z-2%29%5E2+=+19