
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 the vertices of quadrilateral MNPQ are M(1, 1), N(3, -1), P(4, 0), and Q(2, 2),
(1) Calculate the slopes $k_{MN}$ and $k_{PQ}$, and determine the positional relationship between line MN and line PQ.
(2) Find the equation of line PQ.

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