Question

Find the midpoint of the line segment with the given endpoints. 1) (-4, -9), (-6, -6)

Answer 1

The answer is

`( - 5 \: , \: - (15)/(2) )`

Explanation:

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

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

where

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

From the question the points are

(-4, -9), (-6, -6)

The midpoint is

`M = ( ( - 4 - 6)/(2) , \: ( - 9 - 6)/(2) ) \\ = ( - (10)/(2) , - (15)/(2) )`

We have the final answer as

`( - 5 \: , \: - (15)/(2) )`

Hope this helps you