4.4 Slope of a Line Slope basically describes the steepness of a line.
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Transcript of 4.4 Slope of a Line Slope basically describes the steepness of a line.
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4.4 Slope of a Line
Slope basically describes the steepness of a line
![Page 2: 4.4 Slope of a Line Slope basically describes the steepness of a line.](https://reader036.fdocuments.in/reader036/viewer/2022082711/56649f175503460f94c2dba1/html5/thumbnails/2.jpg)
If a line goes up from left to right, then the slope has to be positive
Conversely, if a line goes down from left to right, then the slope has to be negative
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Definitions of Slope
Slope is simply the change in the vertical distance over the change in the horizontal distance
12
12
xx
yy
run
risemslope
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12
12
xx
yym
The formula above is the one which we will use to find the slope of specific lines
In order to use that formula we need to know, or be able to find 2 points on the line
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12
12
xx
yym
Formula for SlopeA way to remember which value goes
on top.
2Y 1-Y2X 1- X
Keep the pairs together.
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If a line is in the form Ax + By = C (what is this called??), we can use the following formula to find the slope:
B
Am
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Examples
6,5,4,1 754 yx
)1(5
46
m
3
1
6
2m
5
4
m
5
4m
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Horizontal lines have a slope of zero while vertical lines have no slope
HorizontalVertical
m = 0
m = no slope
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horizontal line
y
What does an upside-down h look like?
= any number
Is always a horizontal line.
![Page 10: 4.4 Slope of a Line Slope basically describes the steepness of a line.](https://reader036.fdocuments.in/reader036/viewer/2022082711/56649f175503460f94c2dba1/html5/thumbnails/10.jpg)
Vertical line
x
What does an upside-down and right-side up V look like?
= any number
Is always a vertical line.
![Page 11: 4.4 Slope of a Line Slope basically describes the steepness of a line.](https://reader036.fdocuments.in/reader036/viewer/2022082711/56649f175503460f94c2dba1/html5/thumbnails/11.jpg)
Homework:
p. 239-240 #3-27 multiples of 3