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Parallel and Perpendicular Lines……

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Learn how to identify parallel and perpendicular lines based on their slopes. Practice finding parallel and perpendicular slopes with examples and graphs. Improve your understanding of slope concepts.

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Parallel and Perpendicular Lines……

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  1. Parallel and Perpendicular Lines……

  2. Slopes…… • Parallel Lines: The slopes areEQUAL for parallel lines. • Perpendicular Lines: The slopes are opposite reciprocals for perpendicular lines.

  3. Example……If • PARALLEL: • PERPENDICULAR:

  4. You Try....... • If find the parallel and perpendicular slopes. • Parallel: • Perpendicular:

  5. You Try…… • If find the parallel and perpendicular slopes.

  6. Answer……Remember • Parallel: • Perpendicular:

  7. Example…… • A. What is the slope of ? • B. What is the parallel slope? • C. What is the perpendicular slope? • A. • B. • C.

  8. Example…… • Graph the line parallel to through (8,2).

  9. Answer…..Parallel to

  10. Graph …….

  11. Example……. • Graph the line perpendicular to through (3,2)

  12. Answer…Perpendicular to

  13. Graph……

  14. Are the following lines parallel, perpendicular, or neither?.......... • Answer: • They have the same slope so they are parallel.

  15. Parallel, Perpendicular, or Neither? • The slopes are not the same so they are NOT parallel. • The slopes are not opposite reciprocals so they are NOT perpendicular. • They are neither.

  16. Parallel, Perpendicular, or Neither?...... • You must first change both into slope-intercept form. • Now, you can compare their slopes.

  17. They are not the same so they are NOT parallel. • They are not opposite reciprocals so they are NOT perpendicular. • They are neither.

  18. Parallel, Perpendicular, or Neither?..... • Change to slope-intercept form first. • Compare their slopes.

  19. The slopes are opposite reciprocals so they are perpendicular.

  20. Assignment…… • Worksheet

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