
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
Given an ellipse with the equation $\frac {x^{2}}{4}+ \frac {y^{2}}{3}=1$, and its major axis endpoints are M and N. If point P is on the ellipse, find the product of the slopes of PM and PN.

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