
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 intersect at a common $y$-intercept point on the $y$-axis but originate from different $y$-intercept values. The first line has a slope of 4 and originates from a $y$-intercept of 8, and has an $x$-intercept of $(s, 0)$. The second line has a slope of 12, originates from a $y$-intercept of 8, and has an $x$-intercept of $(t, 0)$. Determine the ratio \( \left| \frac{s}{t} \right| \).

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