Question #6447366Fill in the Blank
Algebra-1
Question
Two lines are given by the equations and . These lines are ______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to determine if two lines are perpendicular by checking if the product of their slopes is -1. The slopes of the given lines are negative reciprocals, indicating that the lines are perpendicular.
This question tests the student's ability to determine if two lines are perpendicular by checking if the product of their slopes is -1. The slopes of the given lines are negative reciprocals, indicating that the lines are perpendicular.
Key Concept Explanation
Perpendicular lines have slopes that are negative reciprocals of each other. The product of the slopes of two perpendicular lines is -1.
Perpendicular lines have slopes that are negative reciprocals of each other. The product of the slopes of two perpendicular lines is -1.
Step-by-step Solution
1. Identify the slope of the first line: . The slope (m) is .
2. Identify the slope of the second line:
1. Identify the slope of the first line: . The slope (m) is .
2. Identify the slope of the second line:
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