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

Practice Questions

Q1
What is the slope of the line perpendicular to the line y = -2x + 4?
  1. 0.5
  2. 2
  3. -0.5
  4. -2

Questions & Step-by-Step Solutions

What is the slope of the line perpendicular to the line y = -2x + 4?
  • Step 1: Identify the slope of the given line. The equation is y = -2x + 4. The slope is the number in front of x, which is -2.
  • Step 2: Find the negative reciprocal of the slope. The negative reciprocal of -2 is 1/(-2) = -1/2. To find the negative reciprocal, you flip the fraction and change the sign.
  • Step 3: Since the slope of the line we want is perpendicular to the given line, we take the negative of -1/2, which gives us 1/2.
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