Final answer:
The relationship between two lines can be determined by their slopes. If the slopes of the two lines are equal, then the lines are parallel
Step-by-step explanation:
The relationship between two lines can be determined by their slopes. If the slopes of the two lines are equal, then the lines are parallel. If the slopes are negative reciprocals of each other, then the lines are perpendicular. If the slopes are neither equal nor negative reciprocals, then the lines are neither parallel nor perpendicular, and they are said to be skew lines. If the two lines are coincident, meaning they lie on top of each other, then they are collinear.
In this case, Line A has a slope of -4.7 and Line B has a slope of 12.0. Since the slopes are not equal and not negative reciprocals of each other, the lines are neither parallel nor perpendicular. Therefore, the correct answer is D. Collinear.
. If the slopes are negative reciprocals of each other, then the lines are perpendicular. If the slopes are neither equal nor negative reciprocals, then the lines are neither parallel nor perpendicular, and they are said to be skew lines. If the two lines are coincident, meaning they lie on top of each other, then they are collinear.