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

www.thevisualclassroom.com

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 steepness.

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

The slope of a line is the steepness of the line.

riseslope =

run


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


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


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.


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.


2

3m

3

3m

1m

Determine the slope of the staircase.

23

3

3


y

x

4

64

6m

2

3m

rise

runm

Determine the slope of the line segment.


–5

7

5

7m

rise

runm

Determine the slope of the line segment.y

x


rise

runm

positive

negative

zeroundefined


Determine the slope of the line segment

40

5

40

5m

= 8

y

x


Determine the slope of the line segment

60–2

2

60m

1

30

y

x


Draw a line which has a slope of 1

2




6

–5

6

–5

6


Draw a line which has a slope of …

–3

1–3

1

a) – 3 b) 3

3

13

1

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

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