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

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 ：\(\boxed{\text{Final Answer: The given equation represents an inverse variation, not a direct variation. The constant of variation for the inverse variation is } k = 6\)