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Answer:
(x +4)^2 +(y +6)^2 = 18
Step-by-step explanation:
The standard form equation for a circle centered at (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
The center of the given circle is (-4, -6). The radius (or squared radius) can be found by putting the point (-7, -3) into the left-side expression.
(-7 -(-4))^2 +(-3 -(-6))^2 = r^2 = 9 +9 = 18
Then the equation of the circle is ...
(x +4)^2 +(y +6)^2 = 18
