
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 passing through the point $(0,\sqrt{5})$ intersects the circle $x^{2}+y^{2}=16$ at points $A$ and $B$. If a point $P$ on the circle satisfies $\overrightarrow{OP}=\overrightarrow{OA}+\overrightarrow{OB}$ (where $O$ is the origin), then the slope of this line is __________.

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