Question

PLEASE HELP!!!!
There’s a picture up!!!

Answer 1

(x-5)^2 + (y+4)^2 = 100

Explanation:

The formula for the graph of a circle is
`(x-h)^2 + (y-v)^2 = r^2`. The center is (h, v). We are already given the that center is (5, -4) so we currently have
`(x-5)^2 + (y+4)^2 = r^2`.

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
`(x-5)^2 + (y+4)^2 = 10^2 \Rightarrow \boxed{(x-5)^2 + (y+4)^2 = 100.}`