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Www.thevisualclassroom.com Slopes (or steepness) of lines are seen everywhere.

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Presentation on theme: "Www.thevisualclassroom.com Slopes (or steepness) of lines are seen everywhere."— Presentation transcript:

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

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

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

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

5 www.thevisualclassroom.com They often refer to the slope as a percentage.

6 www.thevisualclassroom.com Slopes and Lines rise run The slope of a line is the steepness of the line.

7 www.thevisualclassroom.com 8 100 A grade of 8% would mean that for every run of 100 units, there is a rise of 8 units.

8 www.thevisualclassroom.com 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

9 www.thevisualclassroom.com 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.

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

11 www.thevisualclassroom.com Determine the slope of the staircase. 2 3 3 3

12 www.thevisualclassroom.com y x 4 6 Determine the slope of the line segment.

13 www.thevisualclassroom.com –5 7 Determine the slope of the line segment. y x

14 www.thevisualclassroom.com positive negative zero undefined

15 www.thevisualclassroom.com Determine the slope of the line segment 40 5 = 8 y x

16 www.thevisualclassroom.com Determine the slope of the line segment 60 –2 y x

17 www.thevisualclassroom.com Draw a line which has a slope of Draw a line which has a slope of 2

18 www.thevisualclassroom.com Draw a line which has a slope of –5 6 6

19 www.thevisualclassroom.com Draw a line which has a slope of … –3 1 1 a) – 3 b) 3 3 1 3 1

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