SAT Question 856372ca: Circles answer and explanation with Desmos solution

Choice B is correct. An equation of a circle is $(x-h{)}^2+(y-k{)}^2=r^2$, where the center of the circle is $(h,k)$ and the radius is $r$. It's given that the center of this circle is $(-8,6)$ and the radius is $5$. Substituting these values into the equation gives $(x-(-8){)}^2+(y-6{)}^2=5^2$, or $(x+8{)}^2+(y-6{)}^2=25$.