
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
(1) Given that line L passes through point P(2, 1) and forms a triangle with the positive directions of the two coordinate axes with an area of 4, find the equation of line L.
(2) Given that the center of the ellipse C is at the origin, the eccentricity is 0.8, and the focal distance is 8, find the standard equation of ellipse C.

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