Question

Does the equation `y = 3` represent a direct variation and if so, identify the constant of variation?

Answer 1

`y` neither increases nor decreases.

This is not a direct variation.

Explanation:

In a direct variation, there is a comparison between two quantities and as one increases, the other one increases proportionately.
As a graph, a direct variation is a straight line with a positive, constant slope.

However, in this case, `y=3` is the equation of a horizontal line.
The slope is 0 and the value of `y` never changes.

Regardless of what value is chosen for `x`, y remains 3.

`y` neither increases nor decreases.

This is not a direct variation.