**(1, 2)**and

**(5, 4)**. The image below shows what we mean by the midpoint:

## How to Find the Midpoint

Finding the midpoint between two points is easy.## Question

Find the midpoint between the points with Cartesian coordinates (1, 2) and (5, 4).## Step-by-Step:

## 1

Add the x-coordinates of the two points together. The x-coordinate of (1, 2) is

**1**. The x-coordinate of (5, 4) is**5**.
1 + 5 = 6

## 2

## 3

Add the y-coordinates of the two points together. The y-coordinate of (1, 2) is

**2**. The y-coordinate of (5, 4) is**4**.
2 + 4 = 6

## 4

Divide the answer (6) by 2.

6 ÷ 2 = 3

**3 is the y-coordinate of the midpoint**.## 5

Write down the Cartesian coordinates of the midpoint as a pair of numbers in brackets, separated by a comma.
The x-coordinate (

**3**) found in**Step 2**goes on the left. The y-coordinate (**3**) found in**Step 4**goes on the right.## Answer:

## How to Find the Midpoint Using a Formula

The midpoint between a point at**(x**and a point at

_{1}, y_{1})**(x**is found at:

_{2}, y_{2})The image below shows what we mean by x

_{1}, y

_{1}, x

_{2}and y

_{2}:

## What Are Cartesian Coordinates?

Cartesian coordinates are used to describe the position of a point on a graph. Cartesian coordinates work by measuring how far across and how far up the point is from the origin.## Why Does the Method Work?

The method works because it finds the point in the middle of the two points. The x-coordinate of the midpoint is just the average of the x-coordinates of the end points. The y-coordinate of the midpoint is just the average of the y-coordinates of the end points.**Remember**, the average of two numbers is found by adding them together and dividing by 2. The average of two numbers is the number exactly half way between the two numbers.

## You might also like...

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