Slopes (or steepness ) of lines are seen everywhere.
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Transcript of Slopes (or steepness ) of lines are seen everywhere.
![Page 1: Slopes (or steepness ) of lines are seen everywhere.](https://reader031.fdocuments.net/reader031/viewer/2022013101/56813931550346895da0dacf/html5/thumbnails/1.jpg)
Slopes (or steepness) of lines are seen everywhere.
![Page 2: Slopes (or steepness ) of lines are seen everywhere.](https://reader031.fdocuments.net/reader031/viewer/2022013101/56813931550346895da0dacf/html5/thumbnails/2.jpg)
The steepness of the roof of a house is referred to as the pitch of the roof by home builders.
![Page 3: Slopes (or steepness ) of lines are seen everywhere.](https://reader031.fdocuments.net/reader031/viewer/2022013101/56813931550346895da0dacf/html5/thumbnails/3.jpg)
Give one reason why some homes have roofs which have a greater pitch.
There is less snow build up in the wintertime.
![Page 4: Slopes (or steepness ) of lines are seen everywhere.](https://reader031.fdocuments.net/reader031/viewer/2022013101/56813931550346895da0dacf/html5/thumbnails/4.jpg)
Engineers refer to the slope of a road as the grade.
![Page 5: Slopes (or steepness ) of lines are seen everywhere.](https://reader031.fdocuments.net/reader031/viewer/2022013101/56813931550346895da0dacf/html5/thumbnails/5.jpg)
They often refer to the slope as a percentage.
![Page 6: Slopes (or steepness ) of lines are seen everywhere.](https://reader031.fdocuments.net/reader031/viewer/2022013101/56813931550346895da0dacf/html5/thumbnails/6.jpg)
Slopes and Lines
rise
run
The slope of a line is the steepness of the line.
riseslope =
run
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8100
A grade of 8% would mean for every run of 100 units, there is a rise of 8 units.
8slope =
100
= 8%
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The steepness of wheelchair ramps is of great importance to handicapped persons.
1
12The slope of wheelchair ramps is usually about
112
If the rise is 1.5 m, what is the run?
Ans: 18 m
![Page 9: Slopes (or steepness ) of lines are seen everywhere.](https://reader031.fdocuments.net/reader031/viewer/2022013101/56813931550346895da0dacf/html5/thumbnails/9.jpg)
Determine the slope of the line.
5 cm
9 cm
5
9m
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.
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3 m
5 m
Determine the slope (pitch) of the roof.
5
3m
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2
3m
3
3m
1m
Determine the slope of the staircase.
23
3
3
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3
9
3
9m
1
3m
rise
runm
2
4 6 1080 12 14
4
6
8
10
12
2
Determine the slope.
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– 5
75
7m
rise
runm
Determine the slope.
2
4 6 1080 12 14
4
6
8
10
12
2
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7
0
7m
rise
runm
0m
Horizontal lines have a slope of zero.2
4 6 1080 12 14
4
6
8
10
12
2
Determine the slope.
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6 6
0m
rise
runm
(undefined)
Vertical lines have slopes which are undefined.
2
4 6 1080 12 14
4
6
8
10
12
2
Determine the slope.
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rise
runm
positive
negative
zeroundefined
Summary: Types of Slopes
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Determine the slope of this line.
Which points will you use to determine rise and run?
5
40 riseslope =
run40
5m
= 8
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Determine the slope of the line segment.
60–2
2
60m
1
30
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Draw a line which has a slope of 1
2
Draw a line which has a slope of 2
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Draw a line which has a slope of 5
6
–5
6
–5
6
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Draw a line which has a slope of …
–3
1–3
1
a) – 3 b) 3
3
13
1