Question

For what value of k will the points (k, 4) and (3,6) represent a direct variation?

Answer 1

Let:

`y=ax`

The equation which represents a direct variation. where a is the constant of proportionality.

`\begin{gathered} x=3,y=6 \\ 6=3a \\ a=(6)/(3) \\ a=2 \end{gathered}`

Therefore:

`\begin{gathered} x=k,y=4 \\ 4=2k \\ solve_{\text{ }}for_{\text{ }}k\colon_{} \\ k=(4)/(2) \\ k=2 \end{gathered}`