Answer:
[tex](x-7)^2+(y-2)^2=130[/tex]
Step-by-step explanation:
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where x and y are points on the circle, h and k are the center, and r is the radius. We have what we need to fill in everything but the radius, but we will solve for that like this:
[tex](-2-7)^2+(-5-2)^2=r^2[/tex]
Simplifying gives you
[tex](-9)^2+(-7)^2=r^2[/tex]
and
[tex]81+49=r^2[/tex]
so [tex]r^2=130[/tex]
That means the equation for this circle is
[tex](x-7)^2+(y-2)^2=130[/tex]
