Answer:
2
Step-by-step explanation:
Subtract the number with the term both sides ( which is 9)
[tex] {x}^{2} + {y}^{2} - 6x + 4y = - 9[/tex]
Complete the square for the x terms and y terms.
( To complete the square divide the coefficient term by 2 and square it, then add that product to both sides.)
[tex] {x}^{2} - 6x + 9 + {y}^{2} +4y + 4 = - 9 + 9 + 4[/tex]
[tex] (x - 3) {}^{2} + (y + 2) {}^{2} = 4[/tex]
Take the square root of the right side to find the radius
[tex] \sqrt{4} = 2[/tex]
