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Course 3

7-5. Coordinate Geometry. AB. positive slope; slope of AB =. 1 8. Course 3. Check It Out: Example 1A. Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. B. A. C. E. F. G. H. D. 7-5. Coordinate Geometry.

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Course 3

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  1. 7-5 Coordinate Geometry AB positive slope; slope of AB = 1 8 Course 3 Check It Out: Example 1A Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. B A C E F G H D

  2. 7-5 Coordinate Geometry slope of CD is undefined Course 3 Check It Out: Example 1B Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. B A CD C E F G H D

  3. 7-5 Coordinate Geometry slope of EF = 0 Course 3 Check It Out: Example 1C Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. B A EF C E F G H D

  4. 7-5 Coordinate Geometry negative slope; slope of GH = = – –1 3 1 3 Course 3 Check It Out: Example 1D Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. B A GH C E F G H D

  5. 7-5 Coordinate Geometry Helpful Hint If a line has slope , then a line perpendicular to it has slope – . a b b a Course 3

  6. 7-5 Coordinate Geometry 3 2 slope of EF = 3 5 slope of GH = 3 5 slope of PQ = –2 3 2 3 slope of CD = or – 3 –3 slope of QR = or –1 Course 3 Additional Example 2: Finding Perpendicular Line and Parallel Lines Which lines are parallel? Which lines are perpendicular?

  7. 7-5 Coordinate Geometry GH || PQ 3 5 3 5 The slopes are equal. = EFCD The slopes have a product of –1: • – = –1 2 3 3 2 Course 3 Additional Example 2 Continued Which lines are parallel? Which lines are perpendicular?

  8. 7-5 Coordinate Geometry –4 6 –6 4 –2 3 –3 2 slope of EF = or slope of AB = or –2 3 slope of CD = 2 3 slope of GH = 3 3 slope of JK = or 1 Course 3 Check It Out: Example 2 Which lines are parallel? Which lines are perpendicular? A C K D E H B J G F

  9. GHAB 7-5 Coordinate Geometry CD || EF –2 3 –2 3 The slopes are equal. = The slopes have a product of –1: • – = –1 3 2 2 3 Course 3 Check It Out: Example 2 Continued Which lines are parallel? Which lines are perpendicular? A C K D E H B J G F

  10. 7-5 Coordinate Geometry 10 3 – MN, RQ Course 3 Insert Lesson Title Here Lesson Quiz Determine the slope of each line. 1.PQ 2.MN 3.MQ 4.NP 5. Which pair of lines are parallel? 1 8 7

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