Question

Find the midpoint of the segment with the given endpoints.
(-10,10) and (-9,6)

Answer 1

The answer is

`( - (19)/(2) \: , \: 2)`

Explanation:

The midpoint M of two endpoints of a 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

(-10,10) and (-9,6)

The midpoint is

`M = ( ( - 10 - 9)/(2) , \: (10 - 6)/(2) ) \\ = ( - (19)/(2) \: , \: (4)/(2) )`

We have the final answer as

`( - (19)/(2) \: , \: 2)`

Hope this helps you