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

1 Answer
EZ as pi
Oct 3, 2016

#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.

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