Answer:
Center: (7, -3) radius = 7
Step-by-step explanation:
You have to complete the square using the x terms and then the y terms
[tex]x^{2} - 14x + 49[/tex] = [tex](x - 7)^{2}[/tex]
[tex]y^{2} + 6y + 9[/tex] = [tex](y + 3)^{2}[/tex]
Add 49 to both sides of the equation
[tex]x^{2} - 14x + 49[/tex] + [tex]y^{2} + 6y + 9[/tex] = 49
[tex](x - 7)^{2}[/tex] + [tex](y + 3)^{2}[/tex] = 49
Center: (7, -3) radius = 7