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Which of the following equations represents a line parallel to y = -3x + 4?

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Question: Which of the following equations represents a line parallel to y = -3x + 4?

Options:

  1. y = -3x + 1
  2. y = 3x - 4
  3. y = -x + 2
  4. y = 2x + 3

Correct Answer: y = -3x + 1

Solution: 

Parallel lines have the same slope. The slope of y = -3x + 4 is -3, so any line with the same slope, like y = -3x + 1, is parallel.

Which of the following equations represents a line parallel to y = -3x + 4?

Practice Questions

Q1
Which of the following equations represents a line parallel to y = -3x + 4?
  1. y = -3x + 1
  2. y = 3x - 4
  3. y = -x + 2
  4. y = 2x + 3

Questions & Step-by-Step Solutions

Which of the following equations represents a line parallel to y = -3x + 4?
  • Step 1: Identify the slope of the given line, which is y = -3x + 4.
  • Step 2: The slope is the number in front of x, which is -3.
  • Step 3: Remember that parallel lines have the same slope.
  • Step 4: Look for other equations that have the same slope of -3.
  • Step 5: Any equation that has -3 as the slope will be parallel to y = -3x + 4.
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