Direct Variation

Solve direct variation problems by finding the constant of variation k = y/x and computing new y values. Free online algebra tool for students.

Calculate direct variation

About This Calculator

The Direct Variation Calculator solves proportional relationship problems using the equation y = kx. Enter a known (x, y) pair to find the constant of variation k, then enter a new x value to compute the corresponding y. This tool is essential for algebra students studying proportional relationships.

Frequently Asked Questions

What is direct variation?

Direct variation describes a proportional relationship where y = kx, with k being the constant of variation.

How do you find the constant of variation?

Given a known pair (x, y), the constant k = y/x.

How do you find y for a new x in direct variation?

Once you know k, multiply it by the new x: y = k x newX.

What is the difference between direct and inverse variation?

In direct variation (y = kx), y increases when x increases. In inverse variation (y = k/x), y decreases when x increases.

Is this calculator free?

Yes, all calculators on Calculy are completely free to use.