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Direct Variation Calculator

Result

Constant of Variation (k)3.0000
Equationy = 3.000x
Predicted y at new x21.0000
↗ Math

Direct Variation Calculator The Direct Variation Calculator finds the constant of variation k from a known pair (x, y) using y = kx, then predicts y for a new x. Enter a known x and y and the new x. — free online calculator.

Formula

y = kx, so k = y ÷ x
  • Direct Variation Calculator calculates its result from Kx, X. It uses the formula y = kx, so k = y ÷ x. Change any input to recalculate the result instantly.
  • The main inputs are Known x, Known y, New x. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Direct Variation

Inputs
  • Known x: 4
  • Known y: 12
  • New x: 7

Using Kx = 2, X = 3, the calculated result is 0.6666666667.

Sample result: Calculating…

Frequently asked questions

What does the Direct Variation calculate?

Direct Variation Calculator The Direct Variation Calculator finds the constant of variation k from a known pair (x, y) using y = kx, then predicts y for a new x. Enter a known x and y and the new x. — free online calculator.

Which values should I enter?

Enter Known x, Known y, New x using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: y = kx, so k = y ÷ x.

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 10, 2026