
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 that $y=(m-3)x-\frac{1}{3}$ is a linear function of $x$, and $y$ increases as $x$ increases,  
(1) Provide three values of $m$ that are consistent with this information.  
(2) Assume the linear function $y=(m-3)x-\frac{1}{3}$ intersects the x-axis at point A and the y-axis at point B. What value of $m$ would make the area of $\triangle AOB$ equal to $\frac{1}{18}$?

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