# Midpoint

The midpoint formula is a geometrical equation that is applied to determine the midway between two data points. Along with geometry, this calculation is used in economics as well to get the coefficient of elasticity.

Hence, it can be said that the Midpoint formula is used to determine how buyer practices change as price, quantity required, and quantity supplied corrections.

**Table of Contents**

## Formula of Midpoint Calculator

To obtain the midpoint of the linear graph, we can apply this midpoint formula that will allow us to determine the endpoint coordinates of a given line.

Let, the endpoints of the line are (x_{1}, y_{1}) and (x_{2}, y_{2}), then the midpoint formula will be written as:

\[\left( {x,y} \right) = \left[ {\frac{{{x_1} + {x_2}}}{2} + \frac{{{y_1} + {y_2}}}{2}} \right]\]

**Where,**

x_{1}and x_{2}= the coordinates of the x-axis.

y_{1}and y_{2}= the coordinates of the y-axis.

**Note:**

To know about polar-to-rectangular calculators, you can use our Polar To Rectangular Calculator.

### Example

For a better understanding see the example below:

If you have a line having endpoints of (4, 5) and (6, 7), find the midpoint of that line.

**Solution**

From the above-given data we can get the coordinates of x and y:

(x_{1}, y_{1}) = (4, 5)

Whereas,

(x_{2}, y_{2}) = (6, 7)

Now by putting the values in the formula, we will get:

\[\left( {x,y} \right) = \left[ {\frac{{{x_1} + {x_2}}}{2} + \frac{{{y_1} + {y_2}}}{2}} \right]\]

\[\left( {x,y} \right) = \left[ {\frac{{4 + 6}}{2} + \frac{{5 + 7}}{2}} \right]\] \[\left( {x,5} \right) = \left( {5,6} \right)\]

### How to use Midpoint Calculator?

The steps to use a midpoint calculator are as follows:

**Step 1: **Enter the value of x_{1} in the first required input.

**Step 2: **Enter the value of y_{1} in the second required input.

**Step 3: **Enter the value of x_{2} in the third required input.

**Step 4: **Enter the value of y_{2} in the fourth required input.

**Step 5: **The calculator will automatically display an answer on the screen.

### Calculator use

By using the Midpoint formula Calculator, with no complex solution and remembering a formula, you can easily get the prescribed answer immediately. Just insert the value of the coordinates, and the answer will be displayed to you!