Question

PLEASE HELP !! Which of the following is the midpoint of a line segment with endpoints (-2,-4) and (6,8)? (4,6) or (4,4) or (2,2) or (2,4)

Answer 1

The answer is (2 , 2)

Explanation:

The midpoint M of a line segment with two endpoints can be found using the formula

`M = ( (x1 + x2)/(2) , \: (y1 + y2)/(2) )`

where

(x1 , y1) and (x2 , y2) are the points

From the question

The endpoints are (-2,-4) and (6,8)

The midpoint is

`M = ( ( - 2 + 6)/(2) , ( - 4 +8 )/(2) ) \\ = ( (4)/(2) , ( 4 )/(2) )`

We have the final answer as

M = ( 2 , 2)

Hope this helps you