Hello!
To find the midpoint of the line segment, use the formula: [tex](\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})[/tex]. In simpler terms, we are finding the average of the two points.
We can assign [tex]x_{1}[/tex] and [tex]y_{1}[/tex] to the point (5, 8), and (-1, 6) to [tex]x_{2}[/tex] and [tex]y_{2}[/tex].
[tex](\frac{5+(-1)}{2}, \frac{8+6}{2}) = (\frac{4}{2}, \frac{14}{2}) = (2, 7)[/tex]
Therefore, the coordinates of the midpoint of the line segment is (2, 7).