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Midpoint Calculator


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The midpoint is the point at the same distance between 2 ends of a line. The midpoint calculator helps you to find the equidistance from two specified endpoints on a line by taking two coordinates in the cartesian coordinate system, with endpoints as A and B.

What Is the Midpoint?

A particular point that lies at the center of a line segment is known as the midpoint.

The midpoint divides the line segment into two parts of the same length. It lies in between two reference points that make up a line.

Midpoint Formula:

$$ (x_{M}, y_{M}) = \left(\dfrac {x_{1} + x_{2}} {2} , \dfrac {y_{1} + y_{2}} {2}\right) $$


(x1, y1) _ First endpoint of a line segment
(x2, y2) _ Second endpoint of a line segment

Midpoint Calculator

How To Find the Midpoint Between Two Points?

When you are given any two points of a bar, you can find the midpoint by hand.

  • Add the X coordinate values and determine their half (Divide by 2)
  • Repeat the same procedure for the Y coordinate of the midpoint

How To Calculate the Midpoint?

You can find the midpoint between two coordinates by following these steps:

Step # 1: Consider the midpoint formula

$$ M = \left(\dfrac{x_1 + x_2}{2}, \; \dfrac{y_1 + y_2}{2}\right) $$

Step # 2: Separate the equations for both X and Y coordinates

$$ x_{M} = \dfrac {x_{1} + x_{2}} {2} $$

$$ y_{M} = \dfrac {y_{1} + y_{2}} {2} $$

Step # 3: Rearrange both equations to solve for X and Y 

$$ x_{2} = 2x_{M} - x_{1} $$

$$ y_{2} = 2y_{M} - y_{1} $$

Practical Example:

Let’s make a supposition that you have two endpoints A and B. So, calculate the midpoint of a line given 2 endpoints. These points have the coordinates as follows:

$$ A = \left(2, 8\right) $$

$$ B = \left(3, 6\right) $$


$$ M = (x_M, \; y_M) $$

$$ M = \left(\dfrac{x_1 + x_2}{2}, \; \dfrac{y_1 + y_2}{2}\right) $$

$$ M = \left(\dfrac{2 + 3}{2}, \; \dfrac{8 + 6}{2}\right) $$

$$ M = \left(\dfrac{5}{2}, \; \dfrac{14}{2}\right) $$

$$ M = \left(2\dfrac{1}{2}, \; 7\right) $$

$$ M = (2.5, \; 7) $$

How to Use Midpoint Calculator:

The midpoint calculator allows you to calculate the midpoint of the line segment by using the following guide:

Input Values:

  • Enter the X coordinates and Y coordinates using numbers, fractions, mixed numbers, or decimals
  • Tap on "Calculate"  

Output Summary:

  • Midpoint of a line segment with stepwise calculations
  • Decimal approximation, difference, and ratio
  • Percent increase and arithmetic comparison
  • Number line and Pie chart
  • Vector length with possible intermediate steps
  • Angles between vector and coordinate axes
  • Polar coordinates

How to Find The Distance Between Two Points?

To discover the point that lies exactly between 2 coordinates, use the distance and midpoint calculator. This helps you to determine the distance between 2 points on a horizontal or vertical line.

The following formula can be used to calculate the distance between two endpoints of a line segment:

$$ d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2} $$

  • Determine the coordinates of both points 
  • Put these coordinate values into the distance formula
  • Find the square root after simplifying the expressions

Additional Queries:

How To Find the Midpoint of a Triangle?

The midpoint of the triangle is known as Centroid and can be calculated as:

  • Determine the midpoints of all 3 sides
  • Using the endpoint and midpoint of all sides, sketch bars that intersect the triangle sides from the center
  • Where the edges meet, that is the midpoint of the triangle

What Is The Midpoint of (0,2) and (2,8)?

The midpoint between (0, 2) and (2, 8) is;

= (1, 5)

Do You Round Midpoints?

The midpoint can not be rounded off. 


Wikipedia: Midpoint, Construction, Geometric properties involving midpoints, Generalizations

Khan Academy: Midpoint formula, Distance between points

Lumen Learning: Calculating Price Elasticities Using the Midpoint Formula, Midpoint Method, Distance Formula, The Standard Form Of Equations Of Circles

Shaun Murphy

I'm graduated in biomedical and electrical engineering. Specialization in sports and medical topics but will gladly tackle everything you throw at him. He is a sailor, hiker, and motorcyclist in his free time.

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M. Shafiq
I was looking for online help regarding my work related to finding midpoint and i found this calculator online. This calculator is very helpful, simple and free to use. So happy
to help me on a class assignment
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