
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
Find the condition under which the points \( A(x_1, y_1) \), \( B(x_2, y_2) \), and \( C(x_3, y_3) \) are collinear.

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