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What is the slope of the line perpendicular to the line y = -3x + 4?

Practice Questions

Q1
What is the slope of the line perpendicular to the line y = -3x + 4?
  1. 1/3
  2. -1/3
  3. 3
  4. -3

Questions & Step-by-Step Solutions

What is the slope of the line perpendicular to the line y = -3x + 4?
  • Step 1: Identify the equation of the line given, which is y = -3x + 4.
  • 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 -3.
  • Step 4: The negative reciprocal of -3 is 1/3. This means you flip the fraction and change the sign.
  • Step 5: Therefore, the slope of the line that is perpendicular to the line y = -3x + 4 is 1/3.
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