Answer:
[tex] \displaystyle M = ( 3,1 )[/tex]
Step-by-step explanation:
we are given the endpoint i.e P and Q of a line segment
we want to figure out the Midpoint of the Line segment
in order to do so we can use Midpoint formula given by
[tex] \displaystyle M = \bigg( \frac{ x_{1} + x_{2} }{2} , \frac{ y_{1} + y_{2}}{2} \bigg)[/tex]
so let
[tex]x_1=-2\\x_2=8\\y_1=-2\\y_2=4[/tex]
substitute
[tex] \displaystyle M = \bigg( \frac{ - 2 + 8}{2} , \frac{ - 2 + 4}{2} \bigg)[/tex]
simplify addition:
[tex] \displaystyle M = \bigg( \frac{ 6}{2} , \frac{ 2}{2} \bigg)[/tex]
simplify division:
[tex] \displaystyle M = ( 3,1 )[/tex]
hence,
the Midpoint of the line segment is (3,1)
