
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 in a plane is parameterized by a parameter $t$. At $t = 5$, the vector on the line is $\begin{pmatrix} 0 \\ 5 \end{pmatrix}$, and at $t = 8$, the vector is $\begin{pmatrix} 9 \\ 1 \end{pmatrix}$. Find the vector on the line at $t = -2$.

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