Answer:
(5,3)
Step-by-step Explanation:
To find the midpoint of a line segment with endpoints [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], we can use the midpoint formula:
[tex] \textsf{Midpoint} = \left( \dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2} \right) [/tex]
Given the endpoints [tex](1, -2)[/tex] and [tex](9, 8)[/tex], let's use the formula to find the midpoint:
[tex] \textsf{Midpoint} = \left( \dfrac{1 + 9}{2}, \dfrac{-2 + 8}{2} \right) [/tex]
[tex] \textsf{Midpoint} = \left( \dfrac{10}{2}, \dfrac{6}{2} \right) [/tex]
[tex] \textsf{Midpoint} = \left( 5, 3 \right) [/tex]
So, the midpoint of the line segment is [tex](5, 3)[/tex].
