
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 $m$, then find the value of $m$.
A) $\frac{1 + \sqrt{15}}{2}$
B) $\frac{1 + \sqrt{17}}{2}$
C) $\frac{-1 + \sqrt{17}}{2}$
D) $\frac{1 + \sqrt{19}}{2}$

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