Which equation does not represent a direct variation?AnswersA.y – 3x = 0B.y + 2 = xC. = D.y =

To determine which equation does not represent a direct variation, we need to understand the concept of direct variation. A relationship between two variables $y$ and $x$ is said to be a direct variation if it can be expressed in the form:

$y = kx$

where $k$ is a non-zero constant.

Now, let's analyze each of the given options:

1. Equation A: $y - 3x = 0$

   This simplifies to $y = 3x$, which is in the direct variation form with $k = 3$.

2. Equation B: $y + 2 = x$

   Rearranging gives $y = x - 2$. This does not fit the direct variation form because of the constant term $-2$.

3. Equation C: $=$

   There seems to be a missing part in this equation, making it impossible to analyze.

4. Equation D: $y =$

   This is also incomplete and cannot be evaluated.

Final Analysis

From the analyzed equations, it's clear that:

• Equation A represents direct variation.
• Equation B does not represent direct variation due to the presence of the constant $-2$.
• Equations C and D are incomplete.

Final Answer

Thus, the equation that does not represent a direct variation is:

B. $y + 2 = x$.