SOLUTION: a circle passes through the points A(-2,4) , B(7,7) and the center lies on the line y-x=1. Find the radius and standard equation

Question 939801: a circle passes through the points A(-2,4) , B(7,7) and the center lies on the line y-x=1. Find the radius and standard equation
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
A and B are both the same distance from the center of the circle. The given line contains the center of the circle, the line also being equivalent to y=x+1, means the center of the circle is a variable point (x,x+1).

Setup a relationship of distances:

If that makes sense, then you understood about half the solution process.
Simplify; put into standard form, identify the radius value.
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