The equation of a circle is written as (x-h)^2 +(y-k)^2 = r^2
h is the x value of the center and k is the y value of the center and r is the radius.
Replace h, k and r with the given information:
(x- -7)^2 + (y - -6)^2 = 4^2
Simplify:
(x+7)^2 + (y+6)^2 = 16
