Question

1.3.18

Find the midpoint of the line segment joining the points (-2, - 1) and ( - 4,10).
The midpoint is
(Simplify your answer. Type an ordered pair.)

Answer 1

The answer is

`( - 3 \: , (9)/(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

(-2, - 1) and ( - 4,10)

So we have

`M = ( ( - 2 - 4)/(2) \: , \: ( - 1 + 10)/(2) ) \\ = ( - ( 6)/(2) \: , \: (9)/(2) )`

We have the final answer as

`( - 3 \: , (9)/(2) )`

Hope this helps you