
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 that the coordinates of points A and B are (-2, 0) and (2, 0) respectively, the product of the slopes of the two lines AM and BM, which form the sides of triangle ABM, is $- \frac {3}{4}$.
(I) Find the trajectory equation of point M;
(II) Assuming the equation of line AM is x = my - 2 (m ≠ 0), the equation of line l is x = 2, line AM intersects l at point P, points P and Q are symmetric about the x-axis, and line MQ intersects the x-axis at point D. If the area of triangle APD is $2 \sqrt {6}$, find the value of m.

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