
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 slope of the line defined by the parametric equations $ \begin{cases} x=3-\frac{\sqrt{3}}{2}t \\ y=1+\frac{1}{2}t \end{cases} (t\text{ is a parameter})$.

A) $-\frac{\sqrt{3}}{3}$
B) $-\frac{\sqrt{3}}{2}$
C) $\frac{\sqrt{3}}{3}$
D) $\frac{1}{2}$

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