
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 line $l$ passes through point $P(2,3)$, find the equation of line $l$ under the following conditions:
1. The angle of inclination of line $l$ is equal to $\frac{2}{3}π$;
2. The sum of the intercepts of line $l$ on the $x$-axis and $y$-axis is equal to 0.

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