Finding The Midpoint Of A Line

This lesson covers:

  1. How to find the midpoint of a line segment 
  2. E.g. 'Find the midpoint between points A (-6, 2) and B (7, -8)

A line segment is a section of line that connects two points. So on the diagram below, the section of line between A and B could be called a line segment.

Diagram showing a line segment between points A and B on a coordinate grid.

What is the 'midpoint' of a line?

The coordinates of the end of the line

The middle of the x axis

The point right in the middle of the line

0

/

1

Graph showing a line segment AB with coordinates on a Cartesian plane

Find the midpoint of the line segment AB on the diagram above.

( , )

0
1

0

/

2

Graph showing a line segment AB with points A and B on a coordinate plane

Find the midpoint of the line segment AB on the diagram above.

( , )

1
3

0

/

2

Without the use of a graph, find the midpoint between the points (0 , -1) and (4 , 1).

( , )

2
0

0

/

2

Find the midpoint between the points (7, 13) and (-3, 8).

(If they're not whole numbers, give you answers as a decimal).

( , )

2
10.5

0

/

2