Inverse Variation Calculator

Solve inverse variation problems where y = k/x. Find the constant k, or solve for x or y given the inverse relationship.

y varies inversely as x: y = k/x (or xy = k). Enter any two values.

Enter two values to solve.

Inverse Variation Formula

y = k/x (equivalently, xy = k)

In inverse variation, as x increases, y decreases, and their product remains constant.

Example: y varies inversely as x. If y = 4 when x = 6, find y when x = 8.
k = xy = 6 × 4 = 24
y = 24/8 = 3

FAQ

What does the graph of inverse variation look like?

A hyperbola. The curve approaches but never touches the x-axis and y-axis (asymptotes).

Last updated: 2026-08-08