math calculator

Linear Interpolation Calculator

This linear interpolation calculator helps when x1, y1, x2, y2, target x are already known and you want the interpolated y quickly.

Important Use Notice

Informational calculator only. Verify important outputs independently before legal, tax, medical, engineering, safety-critical, contractual, employment, or compliance use.

Estimate

Enter job values, review the estimate, then use the decision hints before ordering or quoting.

Estimate Results

Enter values to see the result.

Example

0, 10, 10, 30, 4 gives Interpolated Y 18.

Formula

y = y1 + (x - x1)(y2 - y1) / (x2 - x1)

Use the slope between two known points to estimate the value at a target x.

This assumes the change is linear between the two points.

Check

Mixing units or scales across x1, y1, x2, y2, target x before calculating interpolated y.
Confirm that all inputs use the same unit system expected by the formula.

Next Step

Next Calc

Linear Equation Solver Calculator

Next: linear equation solver.

Next Calc

2x2 Determinant Calculator

Next: 2x2 determinant.

Next Calc

2x2 Matrix Trace Calculator

Next: 2x2 matrix trace.

FAQ

When should I keep extra decimals for linear interpolation calculator?

Keep more decimal places when the result will be reused in another formula, drawing, or comparison rather than read once and rounded.

Is linear interpolation calculator a stable evergreen formula?

Yes. The formula is stable and this tool only covers straightforward calculation.