Question

(40 POINTS!)

Answer 1

Hello there!

The center of any circle is the midpoint of the diameter.
Let's use the midpoint formula to find the midpoint of the diameter.

The midpoint of a line segments with endpoints $(x_1, y_2)$ and $(x_2, y_2)$ will have a midpoint of $( \dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})$

Midpoint of the diameter:

$( \dfrac{-3-11}{2}, \dfrac{-5-7}{2})$

$=(-7, -6)$

Your answer is B. Hope this helps!