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What is the slope of the line perpendicular to the line 5x + 2y = 10?

Practice Questions

Q1
What is the slope of the line perpendicular to the line 5x + 2y = 10?
  1. -2/5
  2. 5/2
  3. 2/5
  4. -5/2

Questions & Step-by-Step Solutions

What is the slope of the line perpendicular to the line 5x + 2y = 10?
  • Step 1: Start with the equation of the line: 5x + 2y = 10.
  • 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 5x from both sides: 2y = -5x + 10.
  • Step 4: Divide every term by 2 to solve for y: y = -5/2 * x + 5.
  • Step 5: Identify the slope of the original line, which is -5/2.
  • Step 6: To find the slope of the line that is perpendicular, take the negative reciprocal of -5/2.
  • Step 7: The negative reciprocal of -5/2 is 2/5.
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