
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 line is shown on a coordinate plane with grid squares measuring 1 unit by 1 unit. The line intersects the y-axis at \(y = -2\) and has a slope such that for every one unit it moves right, it moves up by three units. Find the product \(mb\) for the line's equation \(y=mx+b\).

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