
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 two points in a plane, M(-5, 0) and N(5, 0), a line is called a "hyperbolic line" if there exists a point P on the line such that |PM| - |PN| = 6. Among the following lines:
① y = x + 1
② y = 2
③ y = $$\frac{4}{3}$$x
④ y = 2x + 1
the "hyperbolic lines" are __________.

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