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Linear interpolation calculator

Estimate a value between two points assuming a straight-line relationship.

Result: —

Fill in the fields above — the result is computed on this page.

What do these numbers mean?
  • Between (0,10) and (10,30), x=5 gives y=20. The formula distributes the y change in proportion to x.

x₁ and x₂ must differ. No extrapolation outside the interval; the tool does not establish that your data are linear.

How do I use this page?
  1. Enter values or use the example in the form.
  2. Choose a mode or units where available.
  3. Read the result and check the calculation steps below.

What this page does not do: x₁ and x₂ must differ. No extrapolation outside the interval; the tool does not establish that your data are linear.

Further reading

Theory — what is linear interpolation?

Linear interpolation estimates a value between two known points, assuming the relationship between them follows a straight line. For example, between points (0,10) and (10,30), the value at x=5 equals y=20 — the formula distributes the total change in y proportionally to the position of x between the endpoints. The method works well when the real relationship is approximately linear; for data with noticeable curvature, the interpolated result can differ significantly from the actual value.

Frequently asked questions

How is the result calculated?
Between (0,10) and (10,30), x=5 gives y=20. The formula distributes the y change in proportion to x.
What are the limitations?
x₁ and x₂ must differ. No extrapolation outside the interval; the tool does not establish that your data are linear.

See also

← All calculators

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