What is the slope of the line perpendicular to the line with slope 3?

Practice Questions

Q1
What is the slope of the line perpendicular to the line with slope 3?
  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 with slope 3?
  • Step 1: Understand that the slope of a line is a number that describes how steep the line is.
  • Step 2: Know that if a line has a slope of 3, it means for every 1 unit you move to the right, you move up 3 units.
  • Step 3: Remember that the slope of a line that is perpendicular (at a right angle) to another line is the negative reciprocal of the original slope.
  • Step 4: To find the negative reciprocal, take the original slope (which is 3) and flip it to get 1/3.
  • Step 5: Change the sign to negative, so it becomes -1/3.
  • Step 6: Therefore, the slope of the line that is perpendicular to the line with slope 3 is -1/3.
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