Answer: -[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
To solve this question, I am going to first put the equation into slope-intercept form.
2x + 12y = -192
12y = -2x - 192
y = -[tex]\frac{2}{12}[/tex] - 16
y = -[tex]\frac{1}{6}[/tex] - 16
Now that the first equation has an easily identifiable slope, we can answer the question. Parallel lines will have the same slope, so that means the answer will be:
-[tex]\frac{1}{6}[/tex]