Does this show drect varection $$ \frac{x}{y}=2 $$

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To determine if the equation $$ \frac{x}{y} = 2 $$ shows direct variation, we need to analyze the relationship between $$ x $$ and $$ y $$.

1. **Understanding Direct Variation**: 
   - A relationship between two variables $$ x $$ and $$ y $$ is said to show direct variation if it can be expressed in the form $$ y = kx $$, where $$ k $$ is a constant.

2. **Rearranging the Given Equation**:
   - We can rearrange the equation $$ \frac{x}{y} = 2 $$ to express $$ y $$ in terms of $$ x $$:
   $$
   x = 2y
   $$
   - Now, we can solve for $$ y $$:
   $$
   y = \frac{x}{2}
   $$

3. **Identifying the Constant**:
   - In the rearranged equation $$ y = \frac{1}{2}x $$, we see that $$ k = \frac{1}{2} $$.

Since we can express $$ y $$ as a constant multiple of $$ x $$, this indicates that $$ x $$ and $$ y $$ are directly proportional.

**Conclusion**: Yes, the equation $$ \frac{x}{y} = 2 $$ shows direct variation.
Yes, the equation $$ \frac{x}{y} = 2 $$ shows direct variation.

Does this show drect varection \( \frac{x}{y}=2 \)

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