SOLUTION: The lines y = 4x/3 - 5/3 and y = -4x/3 - 13/3 each contain diametres of a circle and the point (-5,0) is also on that circle. Find the equation of the circle

Question 1087470: The lines y = 4x/3 - 5/3 and y = -4x/3 - 13/3 each contain diametres of a circle and the point (-5,0) is also on that circle. Find the equation of the circle
Answer by ikleyn(52920) (Show Source): You can put this solution on YOUR website!
.

1.  Find the intersection point of these lines.
    It is the center of the circle.

    To find it, solve the system.


    The center is (x,y) = (-1,-3).


2. The distance from the center to the point (-5,0) is  = 5.


3.  The equation of the circle is 

     = 25.

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