Question

Find the midpoint of the line segment joining the points (3,-3) and (-7,14)

Answer 1

The answer is

`( - 2 \: , \: (11)/(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

(3,-3) and (-7,14)

The midpoint is

`M = ( (3 - 7)/(2) \: , \: ( - 3 + 14)/(2) ) \\ = ( - (4)/(2) \: , \: (11)/(2) )`

We have the final answer as

`( - 2 \: , \: (11)/(2) )`

Hope this helps you