Is $y = \frac{6}{x}$ $y=6/x$ linear?

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Answer 1 · 2016-11-17T11:06:30

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

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

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

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

Is y=6/xy=6xy=6/x linear?