Determine whether the given equation represents a direct variation:
\[
\frac{6}{y}=x
\]
Direct variation
Constant of variation: $k=$
Inverse variation
Constant of variation: $k=$
Neither
Answer
\(\boxed{\text{Final Answer: The given equation represents an inverse variation, not a direct variation. The constant of variation for the inverse variation is } k = 6\)
Step 1 ：Determine whether the given equation represents a direct variation or an inverse variation.
Step 2 ：The given equation is \(\frac{6}{y}=x\).
Step 3 ：This equation can be rewritten as \(x*y=6\), which is the form of an inverse variation equation.
Step 4 ：Therefore, the given equation represents an inverse variation, not a direct variation.
Step 5 ：The constant of variation for the inverse variation is \(k = 6\).
Step 6 ：\(\boxed{\text{Final Answer: The given equation represents an inverse variation, not a direct variation. The constant of variation for the inverse variation is } k = 6\)
