
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
Solve the following questions:
1. Find the equation of the line parallel to the line $3x+4y-2=0$ and at a distance of 1 from it.
2. Find the equation of the line perpendicular to the line $x+3y-5=0$ and at a distance of $\sqrt{2}$ from point P(-1,0).

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