Answer:
[tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]
Step-by-step explanation:
Use the circle equation, [tex]( x - h )^2 + ( y - k )^2 = r^2[/tex]
Plug in the center and radius:
[tex]( x + 4 )^2 + ( y - 7 )^2 = 6^2[/tex]
Simplify:
[tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]
So, the equation is [tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]
