STEP 1:
The formula for the midpoint of a line segment
[tex]\text{midpoint =(}\frac{x_{1\text{ }}+x_2}{2}),\text{ (}\frac{y_1+y_2}{2})[/tex]STEP 2:
We substitute the following information in the formular.
[tex]\begin{gathered} x_1=\text{ -5} \\ x_2=\text{ 17} \\ y_1=\text{ -1} \\ y_2=\text{ -9} \end{gathered}[/tex][tex]\begin{gathered} \text{midpoint = (}\frac{-5+17}{2}\text{),(}\frac{-1+(-9)}{2}\text{)} \\ \text{midpoint =(}\frac{12}{2}\text{),(}\frac{-10}{2}\text{)} \\ \text{midpoint = 6,-5} \end{gathered}[/tex]In conclusion, midpoint is 6,-5
