Question: What is the slope of the line perpendicular to the line y = 3x + 1? (2023)
Options:
-1/3
1/3
3
-3
Correct Answer: -1/3
Exam Year: 2023
Solution:
Slope of perpendicular line = -1/(slope of original line) = -1/3.
What is the slope of the line perpendicular to the line y = 3x + 1? (2023)
Practice Questions
Q1
What is the slope of the line perpendicular to the line y = 3x + 1? (2023)
-1/3
1/3
3
-3
Questions & Step-by-Step Solutions
What is the slope of the line perpendicular to the line y = 3x + 1? (2023)
Step 1: Identify the slope of the original line. The equation of the line is y = 3x + 1. The slope is the number in front of x, which is 3.
Step 2: Understand that the slope of a line perpendicular to another line is the negative reciprocal of the original slope. This means you take the negative of the original slope and flip it.
Step 3: Calculate the negative reciprocal of the original slope. The original slope is 3, so the negative reciprocal is -1/3.
Step 4: Conclude that the slope of the line perpendicular to the line y = 3x + 1 is -1/3.
No concepts available.
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