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Slopes (or steepness ) of lines are seen everywhere.

Slopes (or steepness ) of lines are seen everywhere. The steepness of the roof of a house is referred to as the pitch of the roof by home builders. Give one reason why some homes have roofs which have a greater pitch. There is less snow build up in the wintertime.

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Slopes (or steepness ) of lines are seen everywhere.

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  1. Slopes (or steepness) of lines are seen everywhere.

  2. The steepness of the roof of a house is referred to as the pitch of the roof by home builders.

  3. Give one reason why some homes have roofs which have a greater pitch. There is less snow build up in the wintertime.

  4. Engineers refer to the slope of a road as the grade.

  5. They often refer to the slope as a percentage.

  6. Slopes and Lines rise run The slope of a line is the steepnessof the line.

  7. 8 100 A grade of 8% would mean for every run of 100 units, there is a rise of 8 units. = 8%

  8. The steepness of wheelchair ramps is of great importance to handicapped persons. 1 12 The slope of wheelchair ramps is usually about If the rise is 1.5 m, what is the run? Ans: 18 m

  9. Determine the slope of the line. 5 cm 9 cm We use the letter m because in French the word for “to go up” is monter. Because the slope is a ratio, there are no units such as cm or cm2.

  10. Determine the slope (pitch) of the roof. 5 m 3 m

  11. Determine the slope of the staircase. 2 3 3 3

  12. 9 3 Determine the slope. 12 10 8 6 4 2 0 2 4 8 6 10 14 12

  13. – 5 7 Determine the slope. 12 10 8 6 4 2 12 0 4 8 6 10 14 2

  14. 7 Determine the slope. 12 10 8 6 4 2 Horizontal lines have a slope of zero. 0 2 4 8 6 10 14 12

  15. 6 Determine the slope. 12 10 8 6 4 Vertical lines have slopes which are undefined. 2 0 2 4 8 6 10 14 12

  16. negative positive undefined zero Summary: Types of Slopes

  17. Determine the slope of this line. Which points will you use to determine rise and run? 40 5 = 8

  18. Determine the slope of the line segment. –2 60

  19. Draw a line which has a slope of Draw a line which has a slope of 2

  20. Draw a line which has a slope of –5 6 –5 6

  21. Draw a line which has a slope of… b) 3 a) – 3 1 –3 3 1 1 –3 3 1

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