Inverse Variation Calculator

Enter a nonzero x and the constant of variation k to calculate y and verify xy = k.

Stable numericsSubstitute / reconstructIndependent checkLocal calculation

Constant k

y = 3xy = 24

Find k from a known pair & project another value

Inverse variation keeps the product xy constant. Enter one nonzero pair to recover k, then solve a second point and inspect how the product stays fixed as x changes.

Known x₁Known y₁New x₂

—k = x₁y₁

—Predicted y₂

—Inverse-variation equation

When k ≠ 0, x = 0 and y = 0 are excluded; the axes are asymptotes rather than points on the curve.