Question

Line V passes through the points (9,8) and (2,6). Line W passes through the points (5,9) and (3,2). Are Line V and Line W parallel or perpendicular:

a. Parallel
b. Perpendicular
c. Neither
d. Both

Answer 1

c. Neither. To determine if Line V and Line W are parallel or perpendicular, we need to find their slopes using the formula slope = (y2 - y1) / (x2 - x1). The slopes of Line V and Line W are -2/7 and 7/2, respectively. Since the slopes are not equal and not negative reciprocals, the lines are neither parallel nor perpendicular.

Step-by-step explanation:

To determine if Line V and Line W are parallel or perpendicular, we need to find the slopes of both lines. The slope of a line can be found using the formula:

slope = (y2 - y1) / (x2 - x1)

For Line V, the points are (9,8) and (2,6):

slope = (6 - 8) / (2 - 9) = 2 / -7 = -2/7

For Line W, the points are (5,9) and (3,2):

slope = (2 - 9) / (3 - 5) = -7 / -2 = 7/2

Since the slopes of Line V and Line W are not equal and not negative reciprocals of each other, the lines are neither parallel nor perpendicular. Therefore, the answer is c. Neither.