
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 \( y = \frac{5}{3}x + 2 \) and a line \( L' \) that is parallel to the given line and \( 3 \) units from it. Find the equation for \( L' \).
**A)** \( y = \frac{5}{3}x + (2 + \sqrt{34}) \)
**B)** \( y = \frac{5}{3}x + (2 - \sqrt{34}) \)
**C)** \( y = \frac{5}{3}x + 2 \)
**D)** \( y = \frac{2}{5}x + \sqrt{34} \)

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