
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
A linear function $y=kx+b$ passes through points M$(0,2)$ and N$(1,3)$.
(1) Find the values of $k$ and $b$;
(2) Find the area of the triangle formed by the linear function and the two coordinate axes.

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