
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
In the rectangular coordinate system $xoy$, the equation of circle $C$ is $(x+6)^2 + y^2 = 25$.
(I) Establish a polar coordinate system with the origin as the pole and the positive $x$-axis as the polar axis, and find the polar equation of $C$.
(II) The parametric equations of line $l$ are $\begin{cases} x = t\cos\alpha \\ y = t\sin\alpha \end{cases}$ ($t$ is the parameter). Line $l$ intersects $C$ at points $A$ and $B$ with $|AB| = \sqrt{10}$. Find the slope of $l$.

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