If a line is perpendicular to the line with the equation , the slope of the perpendicular 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 the slope of the first line, the student must find the slope of the perpendicular line.
Key Concept Explanation
Perpendicular lines intersect at right angles. The slopes of perpendicular lines are negative reciprocals of each other, meaning their product is -1.
Step-by-step Solution
1. Identify the slope of the given line: . The slope (m) is
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