2. Slopes Mr. Zarrell Math Coach What is Slope? Click to see more.

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

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

5. Malibu House

6. Ranch House

7. Ski Cabin

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

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

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

11. Slopes and Lines rise run The slope of a line is the steepness of the line.

13. Slopes and Lines fall crawl

14. Slope = Fall Crawl =

15. 8 100 A grade of 8% would mean that for every run of 100 units, there is a rise of 8 units.

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

17. 5 cm 9 cm We use the letter m because in French the word for “to go up” is monter. Determine the slope of the line segment. René Descartes (1596-1650) was from France and he was the first to define the Cartesian Plane.

18. 3 m Determine the slope (pitch) of the roof. Because the slope is a ratio, there are no units such as cm or cm 2. 5 m

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

24. y x 4 7 Determine the slope of the line segment.

25. –5 7 Determine the slope of the line segment. y x

26. y x 6 Horizontal lines have a slope of zero. Determine the slope of the line segment.

27. horizontal line y What does an upside- down h look like? = any number Is always a horizontal line.

28. y x 5 Vertical lines have slopes which are undefined. Determine the slope of the line segment.

29. Vertical line What does an upside- down and right-side up V look like? = any number Is always a vertical line.

30. positive negative zero undefined

31. Determine the slope of the line segment 40 5 = 8 y x

32. Determine the slope of the line segment 60 –2 y x

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

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

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