
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 $P(1,4),$ $Q(8,9),$ and $R(-3,7)$. The triangle is reflected about line $M$. The image points are $P'(1,-6),$ $Q'(8,-11),$ and $R'(-3,-9)$. Determine the equation of line $M$.

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