
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
In the rectangular coordinate system, the three vertices of $\triangle ABC$ are $A(-3,0)$, $B(2,1)$, and $C(-2,3)$. Find:
1. The equation of the line containing the altitude $AH$ on side $BC$;
2. The equation of line $l$ passing through point $B$ with intercepts that are additive inverses of each other.

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