Verified Answer :

Ryan2

Reduced Equation:

\((x-x_o)^2+(y-y_o)=r^2\\ \\ (x+4)^2+(y-3)^2=16\\ \\ x^2+8x+16+y^2-6y+9-16=0\\ \\ \boxed{x^2+y^2+8x-6y+9=0}\)

AL2006

I'm going to assume that you're asking for the equation of that circle.
It's

(x + 4)² + (y - 3)² = 16

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