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## Homework Statement

Find the equation of a circle that passes through the points A(2,2) and B(5,3) and has its centre on the line y = x +1

## Homework Equations

(x-h)^2 + (y-k)^2 = r^2

## The Attempt at a Solution

can get 2 equations knowing the 2 points the circle passes through but still have 3 variables and am not sure how to use the equation for the centre

(2-h)^2 + (2-k)^2 = r^2

(5-h)^2 + (3-k)^2 = r^2

How do I solve from here?