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Home ❯ Linear Interpolation Calculator

Linear Interpolation Calculator

Interpolate or extrapolate a point on a straight line and show the line graph.

Linear Interpolation Calculator

Mathematics calculator: Enter two known points and the x-coordinate to estimate. The SVG graph distinguishes interpolation from extrapolation.

Known points
Point to find
y₃=y₁+(x₃−x₁)(y₂−y₁)x₂−x₁

Result

Main result
—
Details
—
Calculation
—

How to use this calculator

Enter two known points and the x-coordinate to estimate. The SVG graph distinguishes interpolation from extrapolation.

  1. Choose the calculation mode and units, when available.
  2. Enter values using the localized examples in the placeholders.
  3. Select Calculate and review the result, steps, and SVG visualization when provided.

Formula and method

y₃=y₁+(x₃−x₁)(y₂−y₁)x₂−x₁

Interpolate or extrapolate a point on a straight line and show the line graph.

Worked example

The placeholders provide a reproducible example. Enter them to verify the result before using your own data.

Assumptions and limitations

Values must be finite and use compatible units. Displayed decimals are rounded, while calculations retain full precision.

Frequently asked questions

What does this calculator do?

Interpolate or extrapolate a point on a straight line and show the line graph.

Why do fields appear or disappear?

Dependent fields follow the selected method, shape, ingredient, or unit mode.

Are all visible formulas semantic?

Yes. Formulas and structured results use native MathML, with text retained only for labels and copying.

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