Question

Is the equation y=3/x represents a direct variation?

Answer 1

No. It represents an inverse, or reciprocal, variation.

Explanation:

In an inverse variation, every doubling of x means a halving of y.

Of course this goes for every factor:
If x goes times n, then y goes divided by n.
graph{3/x [-3.28, 19.22, -5.355, 5.895]}