Final answer:
Since both line A and line B have the same slope of -3, it indicates that they are parallel to each other. They are not perpendicular because their slopes are not negative reciprocals of each other.
Step-by-step explanation:
If line A has a slope of -3 and line B also has a slope of -3, this means that both lines decline at the same rate. In the context of slopes and lines, if two lines have the exact same slope, it indicates that they are parallel to each other. Parallel lines are lines in a plane that never meet; they stay the same distance apart over their entire length. Therefore, since both line A and line B have a slope of -3, we can conclude that the lines are parallel.
Note that for lines to be perpendicular, one line's slope would have to be the negative reciprocal of the other's slope. Since both lines have the same slope and not negative reciprocals of each other, they are not perpendicular. And since they have a specific relationship (equal slopes), the lines are not 'neither' but are indeed parallel.