Question #6447347Fill 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 based on their slopes. The key concept is that the product of the slopes of two perpendicular lines is -1.
This question tests the student's ability to determine if two lines are perpendicular based on their slopes. The key concept is that the product of the slopes of two perpendicular lines is -1.
Key Concept Explanation
Perpendicular lines have slopes that are negative reciprocals of each other. If the product of the slopes of two lines is -1, the lines are perpendicular.
Perpendicular lines have slopes that are negative reciprocals of each other. If the product of the slopes of two lines is -1, the lines are perpendicular.
Step-by-step Solution
1. Identify the slopes of both lines: For the first line, the slope is . For the second line, the slope is 3.
2. Calculate the product of the slopes:
1. Identify the slopes of both lines: For the first line, the slope is . For the second line, the slope is 3.
2. Calculate the product of the slopes:
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