Final answer:
Neither Laura nor Eric is correct; the lines in question are neither parallel nor perpendicular since their slopes are not the same nor are they negative reciprocals of each other.
Step-by-step explanation:
In order to determine whether two lines are parallel or perpendicular, we must look at their slopes. For lines to be parallel, they need to have the same slope. Conversely, for lines to be perpendicular, their slopes need to be negative reciprocals of one another (when multiplied together, they should equal -1).
From the information provided, Line A has a slope of -4.7 and Line B has a slope of 12.0. Multiplying these two slopes we get -4.7 * 12.0 = -56.4, which is not equal to -1. Hence, these lines are not perpendicular. Moreover, since their slopes are not equal, they are also not parallel. Therefore, the answer to the question is D) Both are incorrect.