Answer:
(x +1)^2 +(y +2)^2 = 85
Step-by-step explanation:
The equation of a circle with center (h, k) and passing through (a, b) is ...
(x -h)^2 + (y -k)^2 = (a -h)^2 +(b -k)^2
Filling in your numbers gives ...
(x -(-1))^2 +(y -(-2))^2 = (6 -(-1))^2 +(4 -(-2))^2 = 49 +36 = 85
(x +1)^2 +(y +2)^2 = 85
