
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 $(m,5)$ and $(2,m)$ lie on a line with a slope of $\sqrt{2}$, determine the value of $m$.
A) \( 2 + 2\sqrt{2} \)
B) \( 2 \)
C) \( 3\sqrt{2} \)
D) \( 2 + 3\sqrt{2} \)
E) \( 3 + 2\sqrt{2} \)

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