Question

For direct variation can the value of $k$ be either positive or negative?

• A. Yes
• B. No

Answer 1

The correct option is A Yes

A direct variation will produce a straight line through the origin (0,0).

If $k$ is positive, then the line will rise from left to right, passing through the origin as follows:



And, if $k$ is negative, then the line will fall from left to right, passing through the origin, like:


So, it is possible to have both positive and negative values for $k$.