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Finding the Slope of a Line - Examples and Exercises

Learn how to find the slope of a line using examples, formulas, and practice exercises. Includes positive slopes, negative slopes, and multiple-choice questions.

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Finding the Slope of a Line - Examples and Exercises

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  1. Transparency 7 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 7-4b Objective Find the slope of a line

  4. Example 7-4b Vocabulary Slope The change in y with respect to the change in x Change in y rise Slope = run Change in x

  5. Lesson 7 Contents Example 1Positive Slope Example 2Negative Slope Example 3Negative Slope

  6. Example 7-1a Find the slope of the line. (0, 1) (-2, -3) Choose two points on the line that is at the intersection on a line of x, y and the line given Write the ordered pairs of each 1/3

  7. Example 7-1a Find the slope of the line. (0, 1) (-2, -3) Write the slope formula Make a right triangle using the 2 points 1/3

  8. Example 7-1a Find the slope of the line. 2 units right (0, 1) 4 units up 4 slope = 2 (-2, -3) Count the rise Replace rise with 4 Count the run Replace run with 2 1/3

  9. Example 7-1a Find the slope of the line. 2 units right (0, 1) 4 units up 4 slope = 2 (-2, -3) slope = 2 Simplify Answer: slope = 2 NOTE: If simplifies to a whole number okay, if simplifies to a mixed number, do not simplify 1/3

  10. Example 7-1b Find the slope of the line. Answer: 1/3

  11. Example 7-2a (-3, 3) Find the slope of the line. (2, -2) Choose two points on the line that is at the intersection on a line of x, y and the line given Write the ordered pairs of each 2/3

  12. Example 7-2a (-3, 3) Find the slope of the line. (2, -2) Write the slope formula Make a right triangle using the 2 points 2/3

  13. Example 7-2a 5 units left (-3, 3) Find the slope of the line. 5 units up 5 slope = (2, -2) -5 Count the rise Replace rise with 5 Count the run Replace run with -5 2/3

  14. Example 7-2a 5 units left (-3, 3) Find the slope of the line. 5 units up 5 slope = (2, -2) -5 Answer: slope = -1 Simplify 2/3

  15. Example 7-2b Find the slope of the line. Answer: –2 2/3

  16. Example 7-3a Find the slope of the line. (-3, 2) (1, -1) Choose two points on the line that is at the intersection on a line of x, y and the line given Write the ordered pairs of each 3/3

  17. Example 7-3a Find the slope of the line. (-3, 2) (1, -1) Write the slope formula Make a right triangle using the 2 points 3/3

  18. Example 7-3a Find the slope of the line. (-3, 2) 3 units down (1, -1) -3 slope = 4 units right 4 Answer: The slope = Count the rise Replace rise with -3 Count the run Replace run with 4 3/3

  19. Answer: Example 7-3b Find the slope of the line. 3/3

  20. End of Lesson 7 Assignment

  21. MULTIPLE-CHOICE TEST ITEMThe Americans with Disabilities Act states that the maximum slope of a ramp in new construction shall be . Which ramp does not meet this requirement? Example 7-4a Rise Slope = A rise: 30 in.; run: 300 in. B rise: 30 in.; run: 360 in. C rise: 30 in.; run: 380 in. D rise: 30 in.; run: 400 in. Run

  22. The only ramp with a slope greater than is Ramp A. Example 7-4a A rise: 30 in.; run: 300 in. B rise: 30 in.; run: 360 in. C rise: 30 in.; run: 380 in. D rise: 30 in.; run: 400 in. Answer: A

  23. Example 7-4b * MULTIPLE-CHOICE TEST ITEMThe architects building a new baseball stadium want all of the ramps in the stadium to have the same slope. Which of the following ramps has a different slope from the others? A rise: 50 ft; run: 700 ftB rise: 30 ft; run: 420 ftC rise: 40 ft; run: 480 ftD rise: 60 ft; run: 840 ft Answer: C

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