Final answer:
The slopes of perpendicular lines are negative reciprocals of each other. If the slope of line PQ is m, then the slope of the line perpendicular to PQ (denoted as P'Q') is -1/m
Step-by-step explanation:
The question relates to the concept of finding the slopes of perpendicular lines in mathematics, specifically in the context of coordinate geometry. When two lines are perpendicular to each other in a two-dimensional plane, the slopes of these lines have a specific relationship. If one line has a slope of m, the perpendicular line will have a slope of -1/m assuming the slope is not zero or undefined.
For example, if line pq has a slope of 3, the line p'q' that is perpendicular to it must have a slope of -1/3. To find slopess of perpendicular lines you need to use the negative reciprocal of the given slope.