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What is the slope of the line perpendicular to the line 7x - 2y = 14?

Practice Questions

Q1
What is the slope of the line perpendicular to the line 7x - 2y = 14?
  1. 1/7
  2. -1/7
  3. 2/7
  4. -2/7

Questions & Step-by-Step Solutions

What is the slope of the line perpendicular to the line 7x - 2y = 14?
  • Step 1: Start with the equation of the line: 7x - 2y = 14.
  • Step 2: Rearrange the equation to the slope-intercept form (y = mx + b) to find the slope.
  • Step 3: Isolate y by moving 7x to the other side: -2y = -7x + 14.
  • Step 4: Divide every term by -2 to solve for y: y = (7/2)x - 7.
  • Step 5: Identify the slope (m) 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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