
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 segment with endpoints at \( A(-3, 5) \) and \( B(9, -1) \) is extended beyond \( B \) to point \( C \). If \( BC = \frac{2}{5} \times AB \), find the coordinates of point \( C \).

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