Question #6447354Fill 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. It requires understanding the condition for perpendicularity.
This question tests the student's ability to determine if two lines are perpendicular by checking if the product of their slopes is -1. It requires understanding the condition for perpendicularity.
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 their product is -1.
Perpendicular lines are lines that intersect at a right angle. The slopes of perpendicular lines are negative reciprocals of each other, meaning their product is -1.
Step-by-step Solution
1. Identify the slope of the first line: The equation of the first line is . The slope (m) is .
2. Identify the slope of the second line: The equation of the second line is
1. Identify the slope of the first line: The equation of the first line is . The slope (m) is .
2. Identify the slope of the second line: The equation of the second line is
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
Practice Now - It's Free!