SOLUTION: Find the circle passing through (-1, -3) and (-5, 3) and having its center on the line x-2y+2=0.

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Question 1049312: Find the circle passing through (-1, -3) and (-5, 3) and having its center on the line x-2y+2=0.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Center is on line x-2y%2B2=0
-2y=-x-2
y=x%2F2%2B1
and the center is some variable point ( x, x/2+1 ).

The two points ON the circle, (-1,-3) and (-5,3) are equally distant from center point ( x, x/2+1 ). Can you decide how to use the DISTANCE FORMULA to find x, and then the corresponding y, for the coordinates of the center?