Question

Dont even know where to start

Answer 1

`\displaystyle M = ( 3,1 )`

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( ( x_(1) + x_(2) )/(2) , ( y_(1) + y_(2))/(2) \bigg)`

so let

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

substitute

`\displaystyle M = \bigg( ( - 2 + 8)/(2) , ( - 2 + 4)/(2) \bigg)`

simplify addition:

`\displaystyle M = \bigg( ( 6)/(2) , ( 2)/(2) \bigg)`

simplify division:

`\displaystyle M = ( 3,1 )`

hence,

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