To obtain the midpoint, find the average of the x- and y-coordinates.
Let
[tex]\begin{gathered} (x_1,y_1)=(-5,13) \\ (x_2,y_2)=(6,4) \end{gathered}[/tex]Substitute the coordinates into the midpoint formula and then simplify.
[tex]\text{midpoint}=\mleft(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\mright)[/tex]Thus, we have the following.
[tex]\begin{gathered} midpoint=\mleft(\frac{-5+6}{2},\frac{13+4}{2}\mright) \\ =\mleft(\frac{1}{2},\frac{17}{2}\mright) \end{gathered}[/tex]Therefore, the correct answer is option B.
