
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 rabbit is at the point $(10, 20)$ in a coordinate plane. A fox begins at the point $(0, -2)$ and runs along the line $y = -3x + 15$. At what point $(a, b)$ does the rabbit become farther from the fox, rather than getting closer, and what is $a + b$?

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