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What is the slope of the line perpendicular to the line 4x + 2y = 8?

Practice Questions

Q1
What is the slope of the line perpendicular to the line 4x + 2y = 8?
  1. -1/2
  2. 1/2
  3. 2
  4. -2

Questions & Step-by-Step Solutions

What is the slope of the line perpendicular to the line 4x + 2y = 8?
  • Step 1: Start with the equation of the line: 4x + 2y = 8.
  • Step 2: Rearrange the equation to the slope-intercept form (y = mx + b), where m is the slope.
  • Step 3: Subtract 4x from both sides: 2y = -4x + 8.
  • Step 4: Divide every term by 2 to solve for y: y = -2x + 4.
  • Step 5: Identify the slope (m) of the original line, which is -2.
  • Step 6: To find the slope of the line perpendicular to this line, take the negative reciprocal of -2.
  • Step 7: The negative reciprocal of -2 is 1/2.
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