Hello!
The equation for a circle is
[tex](x - h)^{2} + ( y - k)^{2} = r^{2} [/tex]
(h,k) is the center
r is the radius
Put in the values you know
[tex](x - 7)^{2} + ( y + 3)^{2} = 7^{2}[/tex]
Simplify
[tex](x - 7)^{2} + ( y + 3)^{2} = 49[/tex]
The equation is [tex](x - 7)^{2} + ( y + 3)^{2} = 49[/tex]
Hope this helps!