
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 line $l$ passes through point $P(-1,3)$.
(I) If line $l$ is perpendicular to line $m$: $3x+y-1=0$, find the general form equation of line $l$;
(II) Write the intercept form equation of line $l$ from part (I) and find the area of the triangle formed by line $l$ and the coordinate axes.

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