
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
Given that the line $l$ passes through the point $M(1,1)$ and is parallel to the line $2x+4y+9=0$.
(1) Find the equation of the line $l$;
(2) If the line $l$ intersects the circle $x^{2}+y^{2}+x-6y+m=0$ at points $P$ and $Q$, where $O$ is the origin, and $OP$ is perpendicular to $OQ$, find the real number $m$.

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