ANSWER
![(1,-3)](https://img.qammunity.org/2023/formulas/mathematics/college/dsyy1tw1kbyn9qbnqqz5894ivo6qy9mbif.png)
Step-by-step explanation
We want to find the center of the given equation.
The given equation represents the equation of a circle.
The general form of the equation of a circle is given by:
![(x-h)^2+(y-k)^2=r^2](https://img.qammunity.org/2023/formulas/mathematics/college/5s77z5lwu6jnvb5vkwanu2jvhq5sh1qkc3.png)
where (h, k) = center
r = radius
Comparing the given equation to the general equation, we see that the center of the circle is:
![(1,-3)](https://img.qammunity.org/2023/formulas/mathematics/college/dsyy1tw1kbyn9qbnqqz5894ivo6qy9mbif.png)
That is the answer.