
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 △ABC, where A(2, 2), B(-4, 0), C(3, -1), AD ⊥ BC, and D is the foot of the perpendicular.
(Ⅰ) Find the equation of line AD.
(Ⅱ) Find the equation of the line passing through point D and parallel to edge AC.

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