Midpoint of a Line Segment

Coordinate Point

graph with point (12,5)
Here the point (12,5) is
12 units along, and 5 units up

We can use Cartesian Coordinates to locate a point by how far along and how far up it is:

And when we know both end points of a line segment we can find the midpoint:

Midpoint of a Line Segment

midpoint line between A and B

The midpoint is halfway between the two end points:

To calculate it:

Midpoint of Line

 

As a formula:

M = ( xA+xB 2 , yA+yB 2 )

Example: What is the midpoint here?

Midpoint of Line

Use the formula:

M = ( xA+xB 2 , yA+yB 2 )

M = ( (−3)+8 2 , 5+(−1) 2 )

M = ( 5/2, 4/2 )

M = ( 2.5, 2 )