
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
If \( m>0 \) and the points \( (m,4) \) and \( (2,m) \) lie on a line with slope \( 2m \), then \( m= \)?
A) $\frac{1 + \sqrt{17}}{4}$  
B) $\frac{3 + \sqrt{41}}{4}$  
C) $\frac{2 + \sqrt{9}}{4}$  
D) $\frac{4 + \sqrt{16}}{4}$

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