Find circle equation through A(2,2) and B(5,3) with center on y=x+1

[answerseeker]

how would you find the equation of a circle : (x-p)^2 + (y-q)^2=r^2 with this given info:

the circle passes through A(2,2) and B(5,3) and its centre is on the line defined by y=X+1

 

[baby_garfield]

Plug the two points in the equation and then you get an equation with p and q which should look like 3p+2q=13.

since the center is on the line y=x+1, and the center of the circle is supposed to be (p,q). So q=p+1.

then solve for the equation.