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Enter the coordinates of two endpoints into this calculator to find the midpoint of a line segment.

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Calculate the midpoint between two cartesian coordinates by using this midpoint calculator in a complete step-by-step solution. The midpoint is the point that is located at the center of two points.

The formula to find the coordinates of a midpoint on a cartesian plane is as follows:

M = x₁ + x₂ 2 , y₁ + y₂ 2

**Where:**

**x₁, x₂**= x-coordinates of the first point**y₁, y₂**= y-coordinates of second point

In a Cartesian coordinate system, each point has two coordinates. These are shown on x and y axis like in the given below diagram.

To find the central point, having 2 endpoints of a line segment is important. Here are the steps to calculate the midpoint.

Add x₁ and x₂**Sum the x-coordinates:**Divide the answer of 1st step by 2 to get x-coordinates of the midpoint**Divide by 2:**Add y₁ and y₂**Sum the y-coordinates:**Divide the answer of step 3 by 2 to know y-coordinate of midpoint**Divide by 2:**The midpoint is represented by the ordered pair (x, y), where x is the result from step 2 and y is the result from step 4**Combine coordinates:**

Suppose the coordinates of points as (2, 5) and (8, 1)

**Step # 1 = Add the x-coordinates**

x₁ + x₂ = 2 + 8 = 10

**Step # 2 = Divided by 2**

= x₁ + x₂ 2 = 10 2 = 5

**Step # 3 = Add the y-coordinates**

y₁ + y₂ = 5 + 1 = 6

**Step # 4 = Divided by 2**

= y₁ + y₂ 2 = 6 2 = 3

**Step # 5 = Combine (x, y) coordinates**

By combining the coordinates we get the midpoint between the given points as (5, 3)

** ➥ Geometry:** This tool helps to find the center of a line segments

** ➥ Graphing:** By using this calculator you can locate the midpoint of a lines

** ➥ Data analysis:**Find the average position between two points

** ➥ Mechanics:** For simple systems, the tool calculates the center of a mass

** ➥ Kinematics:** It calculates the average position of objects over time

** ➥ Optics:**The calculator helps to determine the focal point of a lens or mirror

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