
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 lines $a_1x+b_1y+1=0$ and $a_2x+b_2y+1=0$ both pass through point A $(2,3)$, then the equation of the line passing through points $P_1(a_1, b_1)$ and $P_2(a_2, b_2)$ is.

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