
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Find the parametric equations of the line $y = 2x$. The options are:
A) $\begin{cases} x = \sqrt{t} \\ y = 2\sqrt{t} \end{cases}$
B) $\begin{cases} x = 2t + 1 \\ y = 4t + 1 \end{cases}$
C) $\begin{cases} x = \cos{\theta} \\ y = 2\sin{\theta} \end{cases}$
D) $\begin{cases} x = \tan{\theta} \\ y = 2\tan{\theta} \end{cases}$

Present the answer in LaTex format: \boxed{Your answer}
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