
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 expressed in the form
\[
\begin{pmatrix} 2 \\ -1 \end{pmatrix} \cdot \left( \begin{pmatrix} x \\ y \end{pmatrix} - \begin{pmatrix} 4 \\ -3 \end{pmatrix} \right) = 0.
\]
Find the equation of the line in the form $y = mx + b$ and determine the ordered pair $(m,b)$.

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