Final answer:
By analyzing the slopes of the two lines (-4.7 for Line A and 12.0 for Line B), we can conclude that they are neither parallel nor perpendicular because their slopes are neither equal nor negative reciprocals of each other.
Step-by-step explanation:
To determine whether two lines are parallel, perpendicular, or neither, we need to know their slopes. Lines that are parallel have equal slopes, while lines that are perpendicular have slopes that are negative reciprocals of each other (i.e., the product of their slopes is -1).
In this case:
- Line A has a slope of -4.7
- Line B has a slope of 12.0
When we multiply the slopes of Line A and Line B (-4.7 * 12.0), we get -56.4, which is not equal to -1. Therefore, the lines are not perpendicular.
Since the slopes are also not equal, the lines are not parallel either. Hence, we can conclude that these two lines are neither parallel nor perpendicular.