Question

Is `1/x+3y=-5` a linear function and explain your reasoning?

Answer 1

This is not a linear function. Explanation below.

Explanation:

We can modify the expression, so it has `y` alone on one side:

`3y = -1/x -5 => y = -1/3 1/x - 15`.

We can see that this is basically the hyperbola `y = -1/3 1/x`

shifted 15 units downwards, and hyperbolas are not linear functions.