
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
Triangle $PQR$ has vertices with coordinates $P(-2, 1), Q(3, 5),$ and $R(6, 3)$. After reflecting triangle $PQR$ over a line $L$, the image points become $P'(-4, -1), Q'(1, 1),$ and $R'(4, -1)$. Determine the equation of the line $L$.

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