Free math calculators designed for mathematicians. This Linear Interpolation Calculator:

  • Takes Two Points and a X coordinate
  • Gives You the Missing Y coordinate
  • Graphs All Three Points on a line

Using The Linear Interpolation Calculator

The interpolation calculator allows you to calculate the value of a point along a line if you know two other points on that line. Enter the first point (First X, First Y) and the second point (Second X, Second Y) to establish the general direction of the line. Then, enter the X value of the third point.

This interpolation calculator applies the linear interpolation formula to derive the dependent (y) value of the third point. This presumes the three points are in a straight line and that there is no natural variation or error in measurement. Linear interpolation works fairly well for simple models, especially when you are trying to estimate data relatively close to your trusted measurements.

For easy entry, you can copy and paste your data into the entry box from Excel. You can save your data for use with the interpolation calculator and other calculators on this site. Just hit the "save data" button. It will save the data in your browser (not on our server, it remains private). Saved data sets will appear on the list of saved datasets below the data entry panel. To retrieve it, click the "load data" button next to it.

Linear Interpolation Calculator

Solution - Y Value of 3nd X is:



Sharing Results of The Linear Interpolation Calculator

Need to pass an answer to a friend? It's easy to link and share the results of the Linear Interpolation Calculator. Hit calculate - then simply cut and paste the url after hitting calculate - it will retain the values you enter so you can share them via email or social media.

Interpreting Interpolation Tool Results

Tool Overview: Interpolation Calculator

We put our interpolation calculator online as a tool to help students and casual business users simplify their work. This tool takes two points plus the X-coordinate of a third point and uses the linear interpolation equation to derive the missing Y-value. This works well if you are trying to interpolate points for a problem which can be approximated by a linear function. This is used in fields like operations research, costing, and logistics planning. Linear trend are almost universally used for public facing statistical and analytics explainations.

You can easily adept this tool to a linear extrapolation calculator online - adjust the X-value of the third point. The tool will extrapolate the relationship observed between the two known points to derive a y-value for the 3rd point.

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