Final answer:
The slope of a line parallel to the given line 12x - 2y = 28 is 6, as parallel lines have identical slopes.
Step-by-step explanation:
To find the slope of a line parallel to the given line 12x - 2y = 28, we first need to put this equation in the slope-intercept form, which is y = mx + b. Here, m represents the slope, and b represents the y-intercept. By rearranging the given equation, we get -2y = -12x + 28, and then dividing by -2, we find y = 6x - 14. The slope of this line is 6, and since parallel lines have the same slope, the slope of the line parallel to this one is also 6.