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What is the slope of the line perpendicular to the line 7x - 2y + 3 = 0?

Practice Questions

Q1
What is the slope of the line perpendicular to the line 7x - 2y + 3 = 0?
  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 7x - 2y + 3 = 0?
  • Step 1: Start with the equation of the line: 7x - 2y + 3 = 0.
  • Step 2: Rearrange the equation to the slope-intercept form (y = mx + b).
  • Step 3: Move 7x and 3 to the other side: -2y = -7x - 3.
  • Step 4: Divide every term by -2 to solve for y: y = (7/2)x + 3/2.
  • Step 5: Identify the slope (m) of the line from the equation: the slope is 7/2.
  • Step 6: To find the slope of the line that is perpendicular, take the negative reciprocal of 7/2.
  • Step 7: The negative reciprocal of 7/2 is -2/7.
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