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## Homework Statement

Find the equation of the circle that passes through the point (3,-2) and tangent to the line y=3x+5 at (-1,2). Answer in standard form.

## Homework Equations

d= |mx

_{0}+b-y

_{0}|

____________

sqrt(1+m

^{2}

is needed to find the radius of the circle

(x-h)

^{2}+(y-k)

^{2}=r

^{2}is needed to find the equation of the circle.

## The Attempt at a Solution

I haven't attempted a solution per se, but I do know that I need to find the center of the circle. However I don't see a way to find the center of a circle.