How to Find the Midpoint of Coordinates


The midpoint of two coordinates is the point that’s exactly halfway between the two points, or the average of the two points. Instead of trying to visually determine the halfway point of a steep line drawn on a coordinate plane, you can use the midpoint formula. The midpoint formula -- [(x1 + x2)/2, (y1 + y2)/2] -- determines the coordinates of the midpoint between any two endpoints (x1, y1) and (x2, y2). The first part of the formula calculates the average x-coordinate of the endpoints, and the second part calculates the average y-coordinate of the endpoints.

  • Input any two coordinates into the midpoint formula. For this example, use the coordinates (5, 6) and (1, 2). This yields the following: [(5 +1)/2, (6 + 2)/2].

  • Add 5 and 1, which equals 6.

  • Divide 6 by 2, which equals 3. This is the average x-coordinate of the endpoints.

  • Add 6 and 2, which equals 8.

  • Divide 8 by 2, which equals 4. This is the average y-coordinate of the endpoints.

  • Write the x- and y-coordinates as an ordered pair, which equals (3, 4). This is the midpoint of (5, 6) and (1, 2).

Tips & Warnings

  • To use an easier method to find the midpoint of a horizontal or vertical line drawn between two points on a plane, count the number of units on the respective x- or y-axis between the two points and divide by 2.


  • Photo Credit Ryan McVay/Photodisc/Getty Images
Promoted By Zergnet


You May Also Like

  • How to Find Grid Coordinates

    Finding grid coordinates is essential for using maps, plotting graphs and designing. Every day, people need to find grid coordinates on maps...

  • How to Find the Midpoint in Directions

    There are a number of reasons to figure the midpoint between two locations for a specific set of directions. When arranging custody...

Related Searches

Check It Out

Can You Take Advantage Of Student Loan Forgiveness?

Is DIY in your DNA? Become part of our maker community.
Submit Your Work!