Linear Interpolation Calculator

This online calculator is designed for calculating intermediate values using the method of linear interpolation. It provides quick and accurate estimates for values between two known points, as well as for extrapolating outside the available data range. Its intuitive interface makes it ideal for various math, physics, engineering, and construction tasks, such as determining pipeline elevations, road levels, and other linear structures.

Instructions for using the Linear Interpolation Calculator:

• Enter the coordinates of the first point: "x1" and "y1".
• Enter the coordinates of the second point: "x2" and "y2".
• Input the value of "x" for which you need to calculate "y".

After entering the data, you will see the result—the calculated value of "y"—displayed on the graph as well as in the "Solution" section. The target points are highlighted in red on the graph, and the "Solution" section specifies whether the calculation was performed using interpolation (if "x" lies between "x1" and "x2") or extrapolation (if "x" is outside of this range).

Method features:

• Interpolation: Applies when the value is within the known data range and is depicted on the graph by a blue line.
• Extrapolation: Used for calculating values beyond the known data range, indicated on the graph by red points outside the blue line.

Example:

For instance, consider a sewer pipe that is 6 meters long. The elevation at the beginning of the pipe is 170.510 m, and at the end it is 170.660 m. To find the elevation 4.5 meters from the start, the corresponding values are entered into the calculator, yielding a result of 170.623 m; this value is highlighted in blue on the graph.

This Linear Interpolation Calculator is an effective tool for performing engineering and construction calculations. Share it with colleagues and use it in your projects for fast and accurate estimation of intermediate values.