
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 analytical expression of line $AB$ as: $y=kx+m$, which passes through points $A(a,a)$ and $B(b,8b)$ $(a > 0,b > 0)$. When $\frac{b}{a}$ is an integer, the integer value(s) of $k$ is/are $\_\_\_\_\_\_$.

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