Determine whether the two given lines are parallel, perpendicular, or neither.
-
A) parallel
B) perpendicular
C) neither

Question

Determine whether the two given lines are parallel, perpendicular, or neither.
-
A) parallel 
B) perpendicular 
C) neither

Quizplus · Accepted Answer

The given lines have slopes of 1 and -1. Since the product of their slopes (-1) is -1, they are perpendicular. Two lines are perpendicular if and only if the product of their slopes is -1. The slope of the first line is undefined (vertical line) while the slope of the second line is 0 (horizontal line). Thus, their product is 0, which is not equal to -1. Therefore, the lines are not parallel or neither.

Determine Whether the Two Given Lines Are Parallel, Perpendicular, or Neither