Slope Of Parallel And Perpendicular Lines
Overview
Two lines can run side by side forever or cross at a perfect right angle, and their slopes tell you which. A single quick comparison of slopes settles whether lines are parallel, perpendicular or neither.
In this lesson you will use the slope to recognize and create parallel and perpendicular lines: parallel lines share a slope, and perpendicular slopes are negative reciprocals of each other.
Objectives
- Use the slope conditions for parallel and perpendicular lines, and find the equation of a line parallel or perpendicular to a given line through a given point.
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Lesson Note
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Lesson Evaluation
Congratulations on completing the lesson on Slope Of Parallel And Perpendicular 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.
- Two parallel lines have: A. equal slopes B. slopes multiplying to -1 C. equal y-intercepts D. opposite slopes Answer: A
- A line has slope 2. The slope of a line perpendicular to it is: A. 2 B. -2 C. 1/2 D. -1/2 Answer: D
- Which line is parallel to y = 3x + 1? A. y = -3x + 1 B. y = 3x + 5 C. y = (1/3)x D. y = x + 3 Answer: B
- For two perpendicular lines, the product of their slopes is: A. 0 B. 1 C. -1 D. equal Answer: C
- A line has slope -4. A perpendicular line has slope: A. -4 B. 4 C. 1/4 D. -1/4 Answer: C
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