
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
Given the equation of line AB as $y=kx+m$ and that it passes through points A $(a, a)$ and B $(b, 8b)$ with $a > 0$ and $b > 0$. When $\frac{b}{a}$ is an integer, the values of integer $k$ that satisfy the conditions are _______.

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