Question

A line segment has endpoints at (1,6) and (9,-10). The midpoint of the segment is located​

Answer 1

The answer is

( 5 , - 2 )

Explanation:

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

`M = ( (x_1 + x_2)/(2) , \: (y_1 + y_2)/(2) ) \\`

where

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

From the question the points are

(1,6) and (9,-10)

The midpoint is

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

We have the final answer as

( 5 , - 2)

Hope this helps you