Slope is the steepness of a line Slope is 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 ID: 508895
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Slide1
What is SLOPE?Slide2
What does the word “slope” mean?
Slope
is the steepness of a line.Slope is seen everywhere!Slide3
The steepness of the roof of a house is referred to as the
pitch
of the roof by home builders.Slide4
Give one reason why some homes have roofs which have a greater
pitch
.
There is less snow build up in the wintertime.Slide5
Engineers refer to the slope of a road as the
grade
.Slide6
They often refer to the slope as a
percentage
.Slide7
Slopes and Lines
rise
run
The slope of a line is the rise divided by the run. It is often left
as a fraction
.Slide8
A grade of 8% would mean that for every
run
of 100 units, there is a
rise of 8 units.
8
100
Slide9
The steepness of
ramps
is very important for wheelchair accessibility and building codes.
The slope of wheelchair ramps is usually about
1
12
If the rise is 2
m, what is the run?
Ans
:
24
mSlide10
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.Slide11
3 m
5 m
Determine the slope (
pitch
) of the roof.
Because the slope is a
RATIO, it does not have any UNITS.Slide12
Determine the slope of the staircase.
2
3
3
3Slide13
4
7
Determine the slope of the line segment.Slide14
–5
7
Determine the slope of the line segment.Slide15
y
x
6
Horizontal lines have a slope of
zero
.
Determine the slope of the line segment.Slide16
y
x
5
Vertical lines have slopes which are
undefined
.
Determine the slope of the line segment.Slide17Slide18
positive
negative
zero
undefined