
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 $l\_1$: $x+8y+7=0$ and $l\_2$: $2x+y-1=0$.
(1) Find the coordinates of the intersection point of $l\_1$ and $l\_2$;
(2) Find the equation of the line that passes through the intersection point of $l\_1$ and $l\_2$ and is parallel to the line $x+y+1=0$.

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