
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 $l\_1$ is the tangent line to the curve $y=x^{2}+x-2$ at point $(0,-2)$, and $l\_2$ is another tangent line of the curve, with $l\_1 \perp l\_2$ .

1. Find the equation of line $l\_1$;
2. Find the equation of line $l\_2$.

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