Question

Find the coordinates of the midpoint of line segment AB a. (14, -9 ) b. (-6, 5)

Answer 1

The answer is

( 4 , - 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

a. (14, -9 ) b. (-6, 5)

The midpoint is

`M = ( (14 - 6)/(2) \: , \: ( - 9 + 5)/(2) ) \\ = ( (8)/(2) \: , \: - (4)/(2) )`

We have the final answer as

( 4 , - 2)

Hope this helps you