
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
Consider a line defined as:
\[
\begin{pmatrix} -3 \\ 4 \end{pmatrix} \cdot \left( \begin{pmatrix} x \\ y \end{pmatrix} - \begin{pmatrix} 2 \\ -6 \end{pmatrix} \right) = 0.
\]
Express the equation of this line in the form \(y = mx + b\) and identify the ordered pair \((m,b)\).

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