Question

what is the midpoint of a segment whose endpoints are (-4 6) and (2 5)

Answer 1

Do you know how to find the average of two numbers?
For example, what is the average of 8 and 12?

Answer 2

To find the average of two numbers, add the numbers and divide by 2.
The average of 8 and 12 is (8 + 12)/2 = 20/2 = 10.

To find the midpoint of a segment, find the average of the x-coordinates of the endpoints, and find the average of the y-coordinates of the endpoints. Those two averages are the x- and y-coordinates, respectively, of the midpoint.

Answer 3

\(\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -4}}\quad ,&{\color{blue}{ 6}})\quad &({\color{red}{ 2}}\quad ,&{\color{blue}{ 5}})
\end{array}\qquad
\left(\cfrac{{\color{red}{ x_2}} + {\color{red}{ x_1}}}{2}\quad ,\quad \cfrac{{\color{blue}{ y_2}} + {\color{blue}{ y_1}}}{2} \right)\)