# Interpolation Calculator

The **Interpolation** formula is the method to find the new values of any function using the set of already available values and is done by interpolation.

## What is Interpolation Calculator?

'Interpolation Calculator' is an online tool that helps to calculate the interpolated value for the given coordinates. Online Interpolation Calculator helps you to calculate the interpolated value for the given coordinates in a few seconds.

NOTE: Enter the values up to two digits only.

## How to Use Interpolation Calculator?

Please follow the steps below on how to use the calculator:

**Step 1**- Enter the coordinates in the given input box.**Step 2**- Click on**"Calculate"**to find the interpolated value for the given coordinates.**Step 3**- Click on**"Reset"**to clear the fields and enter the new values.

## How to Find the Values by Interpolation?

The **interpolation** or linear interpolation is done to find the point on a straight line between two points, so if the two known points are known to us with the coordinates (x_{1}, y_{1})and (x_{2}, y_{2}). The formula to calculate the interpolated value 'y' at x = some point is given by

**\(y = y_1 + (x − x_1) \dfrac{y_1 − y_2}{x_1 − x_2}\)**

Similarly, we can the interpolated value of 'x' for at y = some point.

**Solved Example:**

Find the interpolated value of y at x = 2 if given some set of values are (-2, 3), (4, 6)

**Solution:**

Using the interpolation formula, \(y = y_1 + (x − x_1) \dfrac{y_1 − y_2}{x_1 − x_2}\)

Given: x = 2, x_{1} = -2, y_{1} = 3, x_{2} = 4 , y_{2} = 6

y = \( 3 + (2 − (-2)) \dfrac{3 − 6}{-2 − 4}\)

y = 3 + 4 × (-3 /-6)

y = 5

Similarly, you can use the calculator to find the interpolated value for given coordinates:

- Find the interpolated value of y at x = 4 if given some set of values are (-2, -7), (-4, 8)
- Find the interpolated value of x at x = 3 if given some set of values are (5, -3), (1, -2)