
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 that the slope of the line $l_{1}$ is $\theta$, the slope of the line $l_{2}$ is $2\theta$, and the line $l_{2}$ intersects the $y$-axis at $-3$, find the general form of the equation of line $l_{2}$.

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