If a line is perpendicular to the line with the equation , what is the slope of the perpendicular line? The slope 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.
Key Concept Explanation
Perpendicular lines intersect at right angles. The product of their slopes is -1.
Step-by-step Solution
1. Identify the slope of the given line: The equation is , so the slope ( ) is .
2. Let the slope of the perpendicular line be . According to the condition for perpendicularity,
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