
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
The equation of line $l_1$ is $3x+4y-12=0$.

(1) If line $l_2$ is parallel to $l_1$ and passes through the point $(-1, 3)$, find the equation of line $l_2$;  
(2) If line $l_2$ is perpendicular to $l_1$ and the triangle formed by $l_2$ and the two coordinate axes has an area of 4, find the equation of line $l_2$.

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