Question #6447343Fill in the Blank
Algebra-1
Question
Two lines are given by the equations and . These lines are _____.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's understanding of the condition for perpendicular lines. The product of the slopes of two perpendicular lines is -1. By calculating the product of the slopes of the given lines, the student can determine if the lines are perpendicular.
This question evaluates the student's understanding of the condition for perpendicular lines. The product of the slopes of two perpendicular lines is -1. By calculating the product of the slopes of the given lines, the student can determine if the lines are perpendicular.
Key Concept Explanation
Perpendicular lines intersect at right angles. The slopes of two perpendicular lines are negative reciprocals of each other, meaning their product is -1.
Perpendicular lines intersect at right angles. The slopes of two perpendicular lines are negative reciprocals of each other, meaning their product is -1.
Step-by-step Solution
1. Identify the slopes of both lines: The first line has the equation , so its slope is . The second line has the equation
1. Identify the slopes of both lines: The first line has the equation , so its slope is . The second line has the equation
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