Answer:
[tex](x+6)^2+(y-5)^2=65[/tex]
Step-by-step explanation:
Plug center into the equation of a circle
[tex](x-h)^2+(y-k)^2=r^2[/tex]
[tex](x-(-6))^2+(y-5)^2=r^2[/tex]
[tex](x+6)^2+(y-5)^2=r^2[/tex]
Determine r²
[tex](2+6)^2+(6-5)^2=r^2[/tex]
[tex]8^2+1^2=r^2[/tex]
[tex]64+1=r^2[/tex]
[tex]65=r^2[/tex]
Final equation
[tex](x+6)^2+(y-5)^2=65[/tex]
