Question

Dont even know where to start

Answer 1

Answer:

$\displaystyle M = ( 3,1 )$

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

$\displaystyle M = \bigg( \frac{ x_{1} + x_{2} }{2} , \frac{ y_{1} + y_{2}}{2} \bigg)$

so let

$x_1=-2\\x_2=8\\y_1=-2\\y_2=4$

substitute

$\displaystyle M = \bigg( \frac{ - 2 + 8}{2} , \frac{ - 2 + 4}{2} \bigg)$

simplify addition:

$\displaystyle M = \bigg( \frac{ 6}{2} , \frac{ 2}{2} \bigg)$

simplify division:

$\displaystyle M = ( 3,1 )$

hence,

the Midpoint of the line segment is (3,1)