Question

Can you please help me out with a question

Answer 1

ANSWER:

$\text{center}=(\frac{3}{2},-\frac{1}{2})$

STEP-BY-STEP EXPLANATION:

The center of the circle would be the mean value between the end points, and we can calculate it like this:

$\begin{gathered} (M_1,M_2)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ \text{replacing} \\ (M_1,M_2)=(\frac{-2+5_{}}{2},\frac{-4+3_{}}{2}) \\ (M_1,M_2)=(\frac{3_{}}{2},-\frac{1_{}}{2}) \end{gathered}$