
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
A line $l$ passes through point P$(-1, -1)$ and is not vertical to the y-axis. It intersects with circle M: $x^2+y^2-2x-3=0$ at points A and B. Point C lies on circle M. If triangle ABC is a right triangle, find the slope of line $l$.

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