Direct & Inverse Variation

Direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.

Inverse variation is a relationship between two variables where the product of the two variables is constant. It can be expressed as y = k/x, where k is a non-zero constant.

y = 6x.

The constant of variation (k) is the ratio of y to x in the equation y = kx.

As the length increases, the width decreases.

The graph of a direct variation equation is a straight line that passes through the origin (0,0).

The graph of an inverse variation equation is a hyperbola that approaches the axes but never touches them.

y = 0.5.

(0, 0).

y = kx.