Question

Is `y=6/x` linear?

Answer 1

`y = 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 =6/x`, when you cross-multiply you will end up with

`xy=6` which has an `xy`-term.

`y= 6/x` is the equation for a hyperbola which is a curve, not a line.