What is the angle between the lines represented by the equations y = 2x + 1 and y = -1/2x + 3? (2021)
Practice Questions
1 question
Q1
What is the angle between the lines represented by the equations y = 2x + 1 and y = -1/2x + 3? (2021)
90 degrees
45 degrees
60 degrees
30 degrees
The slopes are m1 = 2 and m2 = -1/2. The angle θ between the lines is given by tan(θ) = |(m1 - m2) / (1 + m1*m2)|, which results in 90 degrees.
Questions & Step-by-step Solutions
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Q
Q: What is the angle between the lines represented by the equations y = 2x + 1 and y = -1/2x + 3? (2021)
Solution: The slopes are m1 = 2 and m2 = -1/2. The angle θ between the lines is given by tan(θ) = |(m1 - m2) / (1 + m1*m2)|, which results in 90 degrees.
