A line has a slope of and is perpendicular to another line. The slope of the other line is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the relationship between the slopes of perpendicular lines. The product of the slopes of two perpendicular lines is -1. Given one slope, the student must find the slope of the perpendicular line.
Key Concept Explanation
Perpendicular lines are lines that intersect at a right angle (90 degrees), and the product of their slopes is . If two lines are perpendicular, then .
Step-by-step Solution
1. Identify the given slope: The slope of the first line is .
2. Use the relationship for perpendicular lines: Let the slope of the perpendicular line be . Then,
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