Question

Can you please help me out with a question

Answer 1

`\text{center}=((3)/(2),-(1)/(2))`

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)=((x_1+x_2)/(2),(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}`