Direct Variation Calculator

Enter x and the constant of variation k to calculate y and view the direct-variation equation.

Stable numericsSubstitute / reconstructIndependent checkLocal calculation

Constant k

y = 30y = kx

Find k from a known pair & project another value

Direct variation means the ratio y/x stays constant and the graph passes through the origin. Enter one known pair to recover k, then predict y for another x and inspect a small value table.

Known x₁Known y₁New x₂

—k = y₁/x₁

—Predicted y₂

—Direct-variation equation

For standard direct variation, x = 0 implies y = 0 but cannot determine k by itself.