Answer:
(1,-4)
Step-by-step explanation:
Remember, the diameter of a circle crosses through the center from one side of the circle to the other. It is 2 times the radius. This means the center of the circle is the midpoint of the diameter. We find it using the midpoint formula:
[tex](\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})[/tex]
[tex](\frac{-4+6}{2} , \frac{-5+-3}{2})=(\frac{2}{2} , \frac{-8}{2})=(1,-4)[/tex]
