
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 the line $l\_1:3x+4y-1=0$ and point $A(3,0)$, let $l\_2$ be the line passing through point $A$ and perpendicular to $l\_1$.

(1) Find the equation of line $l\_2$;

(2) Calculate the area of the triangle formed by line $l\_2$ and the coordinate axes.

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