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 slope of perpendicular lines. The key concept is that the product of the slopes of perpendicular lines is .
Key Concept Explanation
Perpendicular lines are lines that intersect at a right angle. The slopes of perpendicular lines are negative reciprocals of each other, meaning if one line has a slope of , the slope of a line perpendicular to it is .
Step-by-step Solution
1. Identify the slope of the given line. The equation is in the form , where is the slope.
2. For the line
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