Question

the endpoints of a diameter of a circle are (-7,3) and (5,1). what is the center of the circle?

Answer 1

the midpoint of the line segment
do you know how to find it?

Answer 2

take the average in each coordinate
\[(\frac{-7+5}{2},\frac{3+1}{2})\]

Answer 3

\(\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -7}}\quad ,&{\color{blue}{ 3}})\quad &({\color{red}{ 5}}\quad ,&{\color{blue}{ 1}})
\end{array}\qquad
\left(\cfrac{{\color{red}{ x_2}} + {\color{red}{ x_1}}}{2}\quad ,\quad \cfrac{{\color{blue}{ y_2}} + {\color{blue}{ y_1}}}{2} \right)\)