Midpoint Of A Line Segment - Math Is Fun

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Math is Fun 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 "M" (try dragging the end points):

../geometry/images/geom-line-equn.js?mode=mid

Midpoint of a Line Segment

midpoint line between A and B

The midpoint is halfway between the two end points:

  • Its x value is halfway between the two x values
  • Its y value is halfway between the two y values

To calculate it:

  • Add both "x" coordinates, divide by 2
  • Add both "y" coordinates, divide by 2

Midpoint of Line

In other words it's x value is the average of the x values of point A and B (and similarly for y).

As a formula:

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

Example: What is the midpoint here?

Midpoint of Line

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

M = ( (−3)+8 2 , 5+(−1) 2 )

M = ( 5/2, 4/2 )

M = ( 2.5, 2 )

527, 528, 1167, 7389, 7390, 7391, 7392, 7393, 7394, 1168 Equation of a Straight Line Straight Line Graph Calculator Parallelogram In Any Quadrilateral Algebra Index Copyright © 2025 Rod Pierce

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