Transcript Slopes (or steepness) of lines are used 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.
Engineers refer to the slope
of a road as the grade.
They often refer to the slope as
a percentage.
Slopes and Lines
rise
run
rise
slope =
run
The slope of a line is the steepness of the line.
8
100
A grade of 8% would mean for every
run of 100 units, there is a rise of 8 units.
8
slope =
100
= 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
1
12
Determine the slope of the line.
5
m
9
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.
Determine the slope
(pitch) of the roof.
5m
5
m
3
3m
Determine the slope of the staircase.
2
m
3
2
3
3
m
3
3
m 1
3
Determine the slope.
12
10
rise
m
run
3
m
9
1
m
3
9
8
3
6
4
2
0
2
4
6
8
10
12
14
Determine the slope.
12
rise
m
run
10
8
–5
5
m
7
6
7
4
2
0
2
4
6
8
10
12
14
Determine the slope.
12
10
rise
m
run
7
8
0
m
7
6
m0
4
2
0
Horizontal lines have a slope of zero.
2
4
6
8
10
12
14
Determine the slope.
12
rise
m
run
6
(undefined)
m
0
10
6
8
6
4
Vertical lines have slopes
which are undefined.
2
0
2
4
6
8
10
12
14
Summary: Types of Slopes
rise
m
run
negative
positive
undefined
zero
Determine the slope of this line.
Which points will
you use to
determine rise and
run?
40
5
rise
slope =
run
40
m
5
=8
Determine the slope of the line segment.
2
m
60
1

30
–2
60
Draw a line which has a slope of
1
2
Draw a line which has a slope of 2
Draw a line which has a slope of
–5
6
–5
6
5
6
Draw a line which has a slope of …
a) – 3
b) 3
1
–3
3
1
1
–3
3
1