
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
Two lines each have a different non-zero $y$-intercept. The first line has a slope of 8 and an $x$-intercept of $(r, 0)$. The second line has a slope of 4 and an $x$-intercept of $(q, 0)$. If the first line's $y$-intercept is double that of the second line, what is the ratio of $r$ to $q$?

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