Answer:
Step-by-step explanation:
The equation for a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
We have an h, k, x, and y; we need to find r-squared. Filling in:
[tex](-6-9)^2+(2-7)^2=r^2[/tex] which simplifies to
[tex]-15^2+-5^2=r^2[/tex] which simplifies to
[tex]225+25=r^2[/tex] which means that
[tex]r^2=250[/tex]
Our equation, then, is
[tex](x-9)^2+(y-7)^2=250[/tex]