Answer
$(x+7)^{2}+(y-8)^{2}=25$
Work Step by Step
Equation of the circle with the center $(-7,8)$ and radius $5$ is
$(x-(-7))^{2}+(y-8)^{2}=5^{2}$
[Using $(x-h)^{2}+(y-k)^{2}=r^{2}$ where $(h,k)$ is the center and $r $ is the radius.]
$(x+7)^{2}+(y-8)^{2}=25$
