www.thevisualclassroom.com slopes (or steepness) of lines are seen everywhere
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Slopes (or steepness) of lines are seen everywhere.
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The steepness of the roof of a house is referred to as the pitch of the roof by home builders.
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Give one reason why some homes have roofs which
have a greater steepness.
There is less snow build up in the wintertime.
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Engineers refer to the slope of a road as the grade.
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They often refer to the slope as a percentage.
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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 that for every run of 100 units, there is a rise of 8 units.
8slope =
100
2 =
25
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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
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5 cm
9 cm
5
9m
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.
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3 m
5 m
Determine the slope (pitch) of the roof.
5
3m
Because the slope is a ratio, there are no units such as cm or cm2.
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2
3m
3
3m
1m
Determine the slope of the staircase.
23
3
3
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y
x
4
64
6m
2
3m
rise
runm
Determine the slope of the line segment.
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–5
7
5
7m
rise
runm
Determine the slope of the line segment.y
x
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rise
runm
positive
negative
zeroundefined
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Determine the slope of the line segment
40
5
40
5m
= 8
y
x
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Determine the slope of the line segment
60–2
2
60m
1
30
y
x
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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
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