
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 a line passing through points $P(-2, \sqrt{3})$ and $Q(-1, 0)$, find the equation of line PQ. (Express in general form)  
(2) Given a line passing through point $P(2, 3)$, and the intercepts on the x-axis and y-axis are equal, find the equation of this line. (Express in general form)

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