
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 triangle $\triangle ABC$, given $A(-2,1)$ and $B(4,3)$.<br/>(1) If $C(3,-2)$, find the general equation of the line containing the altitude $AD$ on side $BC$;<br/>(2) If point $M(3,1)$ is the midpoint of side $AC$, find the general equation of the line containing side $BC$.<br/><bdo class="mathjye-aligncenter"></bdo>

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