
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 a line $l$ passes through the point $P(-2,5)$, and its slope is $- \frac{3}{4}$.

$(1)$ Find the equation of line $l$;

$(2)$ If line $m$ is parallel to $l$, and the distance between $m$ and $l$ is $3$, find the equation of line $m$.

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