Answer:
(x -5)^2 +(y +4)^2 = 100
Step-by-step explanation:
The equation of a circle with center (h, k) that passes through point (a, b) is ...
(x -h)^2 +(y -k)^2 = (a -h)^2 +(b -k)^2
For your given points, the equation is ...
(x -5)^2 +(y +4)^2 = (-3-5)^2 +(2+4)^2 = 64 +36
(x -5)^2 +(y +4)^2 = 100
