Which of the following lines is perpendicular to the line y = 3x + 1?

Practice Questions

Q1
Which of the following lines is perpendicular to the line y = 3x + 1?
  1. y = -1/3x + 2
  2. y = 3x - 1
  3. y = 1/3x + 1
  4. y = -3x + 1

Questions & Step-by-Step Solutions

Which of the following lines is perpendicular to the line y = 3x + 1?
  • Step 1: Identify the equation of the given line, which is y = 3x + 1.
  • Step 2: Find the slope of the given line. The slope is the number in front of x, which is 3.
  • Step 3: To find the slope of a line that is perpendicular to the given line, take the negative reciprocal of the slope. The negative reciprocal of 3 is -1/3.
  • Step 4: Look for a line with a slope of -1/3. This line will be perpendicular to the original line.
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