
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
The equations of lines l1 and l2, which respectively pass through point A(1,3) and point B(2,4) and are parallel to each other, have the maximum distance between them. Determine the equation of line l1.

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