For the line y = 6x + 2, the slope is 6.
For the line y = -6x + 2, the slope is -6.
If two lines are parallel, their slopes must be equal. However, in this case, 6 and -6 are not equal, so the lines are not parallel.
To determine if the lines are perpendicular, their slopes must be negative reciprocals of each other. The negative reciprocal of 6 is