
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 the line $l_{1}: 2x+4y-1=0$ and the point $A(3,0)$, let the line passing through point $A$ and parallel to $l_{1}$ be $l_{2}$.

$(1)$ Find the equation of line $l_{2}$;

$(2)$ Find the coordinates of the point $B$, which is the symmetric point of $A(3,0)$ with respect to the line $l_{1}$.

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