
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
The line $y = 2x - 6$ is parameterized by the form
\[\begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} r \\ 2 \end{pmatrix} + t \begin{pmatrix} 3 \\ k \end{pmatrix}.\]
Enter the ordered pair $(r,k)$.

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