Parallel Lines
Overview
Parallel lines run in the same direction and never meet, and in coordinate geometry that single fact has a neat consequence: they have exactly the same gradient. That makes finding the equation of a line parallel to a given one quick and reliable.
In this lesson you will find the gradient and equation of a straight line parallel to a given line, using the key idea that parallel lines share a gradient.
Objectives
- Find the gradient and equation of a straight line parallel to a given line.
Audio Lesson
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Mind map
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Flashcards
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Lesson Note
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Lesson Evaluation
Congratulations on completing the lesson on Parallel Lines. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.
You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.
Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.
- What is true of the gradients of two parallel lines? A. They are equal B. They multiply to -1 C. They add to 0 D. One is zero Answer: A
- Which line is parallel to y = 2x + 1? A. y = 3x + 1 B. y = 2x + 5 C. y = -2x + 1 D. y = x + 2 Answer: B
- A line parallel to y = 3x - 4 has gradient: A. -4 B. -1/3 C. 3 D. 4 Answer: C
- The line parallel to y = 2x + 1 through (0, 5) is: A. y = 2x + 5 B. y = 5x + 2 C. y = 2x + 1 D. y = -2x + 5 Answer: A
- Parallel lines differ only in their: A. gradient B. y-intercept C. steepness D. direction Answer: B
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