
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 piece of cheese is located at \( (16, 8) \). A mouse starts at \( (2, -4) \) running up along the line \( y = -3x + 10 \). At what point \( (a, b) \) along its path does the mouse begin to get farther rather than closer to the cheese?

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