Refer to the graph below. Which of the following lines is perpendicular to Line A?
Options
A
B
C
D
Answer & Analysis
Answer
A
Analysis
Question
Analysis This question tests the understanding of the
condition for perpendicular lines, which is that the product of their slopes
must be -1.
Key
Concept Explanation Slope formula:
Two lines are perpendicular if the product of their slopes is -1. ()
In other words, the slope of a line
perpendicular to another line is the negative reciprocal of the original slope.
()
Step-by-step
Solution 1. Identify the slope of the line from the graph.
2. Calculate the slope of Line
A with points (1, -2) and (3, 1):
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