Answer:
(x-5)^2 + (y+4)^2 = 100
Step-by-step explanation:
The formula for the graph of a circle is [tex](x-h)^2 + (y-v)^2 = r^2[/tex]. The center is (h, v). We are already given the that center is (5, -4) so we currently have [tex](x-5)^2 + (y+4)^2 = r^2[/tex].
Now we want to find the radius. We are given the center and a point that the circle passes through, so we can calculate the distance between them (which is the radius). We find that the radius is 10.
So our equation is [tex](x-5)^2 + (y+4)^2 = 10^2 \Rightarrow \boxed{(x-5)^2 + (y+4)^2 = 100.}[/tex]
