
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 passing through the points \(\begin{pmatrix} -3 \\ 2 \end{pmatrix}\) and \(\begin{pmatrix} 4 \\ -3 \end{pmatrix}\) is known to be parameterized in such a way that its direction vector can be written as \(\begin{pmatrix} b \\ -2 \end{pmatrix}\). Determine the value of \(b\).

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