Linear Interpolation Calculator

Estimate a value between supplied points using piecewise linear interpolation, with extrapolation only when selected.

Inputs stay on your device No sign-up Free to use
How this works

The tool runs in this browser. Your file or text is not uploaded to UseFreeTools. Check this tool's limits for anything it may save on your device.

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Interpolate value controls

Showing an example. Edit to see your own.

One x,y pair per line with a unique x. Up to 1,000 points; the tool orders them by x itself.

When off, a query outside the known x range stops with an explanation instead of extending a segment.

Processed in your browser. Your inputs stay on this device.

How to use Linear Interpolation Calculator

  1. Enter one x,y point per line with distinct x values.
  2. Enter the x value to estimate and choose whether extrapolation is allowed.
  3. Inspect the two points used and the resulting y value.

Example: Linear Interpolation Calculator

Linear Interpolation Calculator: At x = 5, y = 10.

You add
Known points (x,y one per line): 0,0 10,20 Value to interpolate (x): 5 Allow extrapolation outside the known range: off
You get
At x = 5, y = 10. Interpolated y = 10 at x = 5 (between x = 0 and x = 10). Query x | 5 Result y | 10 Segment | x = 0 to x = 10

Options

Bracketing points
Supply distinct x values. The page sorts them and uses the adjacent points around the query for a piecewise straight-line estimate.
Extrapolation
Enable this only when you intend to extend the nearest end segment outside the entered x range.

Supported inputs and limits

Up to 1,000 points with distinct x values. Points are ordered by x for piecewise linear calculation. Queries outside their range are refused unless extrapolation is selected. No polynomial, spline or uncertainty model is fitted.

Where your input is processed

This tool processes your input in this browser. Your text and files are not uploaded to UseFreeTools. Check this tool's limits for anything it may save on your device.

A segment between measurements is still an assumption

The output names the points used, so you can check whether that segment fits the task. Curved relationships and abrupt changes can make a straight-line estimate poor. Extrapolation extends the same assumption beyond the observations without adding evidence or uncertainty bounds.

Questions about Linear Interpolation Calculator

Does the input order matter?

The tool sorts points by x. Duplicate x values are refused because they do not define one y value at that location.

What happens at an entered point?

The result uses that point’s supplied y value.

Is extrapolation as reliable as interpolation?

It extends the nearest end segment beyond the observed range. That linear assumption can be poor, so it requires a separate choice.

Project manager: Tony Hines · Content updated 4 October 2026 · Report a problem