
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
The line $l: \begin{cases}x=t\cos \alpha \\ y=t\sin \alpha\end{cases} (t$ is a parameter$)$ intersects with the circle $C: (x+6)^{2}+y^{2}=25$ at points $A$ and $B$, and $|AB|= \sqrt {10}$. The slope of the line $l$ is ______.

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