Find the slope of a line parallel to the line whose equation is 2x+12y=-192. Fully simplify your answer.
To find the slope of a line parallel to the given line, we first need to find the slope of the given line.
The equation of the line is given in the form Ax + By = C, where A = 2, B = 12. To find the slope, we need to rewrite the equation in the slope-intercept form y = mx + b, where m is the slope.
2x + 12y = -192
12y = -2x - 192
y = -2/12 x - 192/12
y = -1/6 x - 16
The slope of the given line is -1/6.
Since the lines are parallel, the slope of the line parallel to the given line will be the same. Therefore, the slope of a line parallel to 2x + 12y = -192 is -1/6.