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What is the slope of the line perpendicular to the line 4x + 3y = 12?

Practice Questions

Q1
What is the slope of the line perpendicular to the line 4x + 3y = 12?
  1. -3/4
  2. 4/3
  3. 3/4
  4. -4/3

Questions & Step-by-Step Solutions

What is the slope of the line perpendicular to the line 4x + 3y = 12?
  • Step 1: Start with the equation of the line: 4x + 3y = 12.
  • Step 2: Rearrange the equation to find the slope. We want to write it in the form y = mx + b, where m is the slope.
  • Step 3: Subtract 4x from both sides: 3y = -4x + 12.
  • Step 4: Divide every term by 3 to isolate y: y = -4/3 x + 4.
  • Step 5: Identify the slope of the original line, which is -4/3.
  • Step 6: To find the slope of the line that is perpendicular, take the negative reciprocal of -4/3.
  • Step 7: The negative reciprocal of -4/3 is 3/4.
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