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Which of the following statements is true regarding the slopes of parallel lines

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Question: Which of the following statements is true regarding the slopes of parallel lines in a coordinate plane?

Options:

  1. They are equal
  2. They are negative reciprocals
  3. They are always zero
  4. They are always positive

Correct Answer: They are equal

Solution:

Parallel lines have the same slope, hence their slopes are equal.

Which of the following statements is true regarding the slopes of parallel lines

Practice Questions

Q1
Which of the following statements is true regarding the slopes of parallel lines in a coordinate plane?
  1. They are equal
  2. They are negative reciprocals
  3. They are always zero
  4. They are always positive

Questions & Step-by-Step Solutions

Which of the following statements is true regarding the slopes of parallel lines in a coordinate plane?
  • Step 1: Understand what a slope is. The slope of a line measures how steep it is and is calculated as the change in vertical position divided by the change in horizontal position.
  • Step 2: Recognize that parallel lines are lines that never meet and are always the same distance apart.
  • Step 3: Know that for two lines to be parallel, they must rise and run at the same rate, which means they must have the same slope.
  • Step 4: Conclude that if two lines are parallel, their slopes must be equal.
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