
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 parameterized by a parameter \( t \), such that the vector at \( t = 1 \) is \( \begin{pmatrix} 2 \\ 5 \end{pmatrix} \), and the vector at \( t = 4 \) is \( \begin{pmatrix} 11 \\ -7 \end{pmatrix} \). Find the vector on the line at \( t = 0 \).

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