Final answer:
To find the slope of a line parallel to the given equation 2x + 12y = -192, we rewrite the equation in slope-intercept form, y = mx + b, to isolate y and identify the slope, which is -1/6. Parallel lines share the same slope, so the slope of the parallel line is also -1/6.
Step-by-step explanation:
To find the slope of a line parallel to the given line with the equation 2x + 12y = -192, we first need to rewrite the equation in slope-intercept form, which is y = mx + b.
In this form, m represents the slope and b represents the y-intercept.
The given equation can be rewritten as follows:
- 12y = -2x - 192
- y = (-2/12)x - 16
- y = (-1/6)x - 16
Now we have the slope-intercept form of the equation, where the slope (m) is -1/6. Since parallel lines have the same slope, the slope of a line parallel to the given line is also -1/6.