
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 equation of a line is $3x - 4y + 2 = 0$.

(1) Find the equation of the line that passes through the point $(-2, 2)$ and is perpendicular to line $l$;  
(2) Find the intersection of the lines $x - y - 1 = 0$ and $2x + y - 2 = 0$, and calculate the distance from this point to the given line.

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