Question #6447305Fill in the Blank
Algebra-1
Question
Two lines are ______ if the product of their slopes is -1.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the fundamental property of perpendicular lines. The student must recognize that the product of the slopes of two perpendicular lines is $$ -1 $$.
This question tests the student's understanding of the fundamental property of perpendicular lines. The student must recognize that the product of the slopes of two perpendicular lines is $$ -1 $$.
Key Concept Explanation
Perpendicular lines intersect at a right angle (90 degrees), and the product of their slopes is $$ -1 $$: $$ m_1 \cdot m_2 = -1 $$. This is a key property that distinguishes perpendicular lines from other types of lines.
Perpendicular lines intersect at a right angle (90 degrees), and the product of their slopes is $$ -1 $$: $$ m_1 \cdot m_2 = -1 $$. This is a key property that distinguishes perpendicular lines from other types of lines.
Step-by-step Solution
1. Recall the definition of perpendicular lines: they intersect at a right angle.
2. The product of the slopes of two perpendicular lines is...
1. Recall the definition of perpendicular lines: they intersect at a right angle.
2. The product of the slopes of two perpendicular lines is...
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