# Is y=6/x linear?

Nov 17, 2016

$y = \frac{6}{x}$ will give a hyperbola. It is not linear.

#### Explanation:

Linear means to do with a straight line.

The equation of a straight line must have at least 2 of the following terms:

an x-term, a y-term and a constant (or number) term.

The x and y may not be in the denominator.

In $y = \frac{6}{x}$, when you cross-multiply you will end up with

$x y = 6$ which has an $x y$-term.

$y = \frac{6}{x}$ is the equation for a hyperbola which is a curve, not a line.