Slope of a Line. In skiing, you will usually see these symbols EasyMediumHard.
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Transcript of Slope of a Line. In skiing, you will usually see these symbols EasyMediumHard.
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Slope of a Line
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In skiing, you will usually see these symbols
Easy Medium Hard
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What is Slope?What is Slope?
Slope basically describes the steepness of a line. However, it
doesn’t use symbols to describe it but a numerical value.
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Definitions of Slope
Slope is simply the change in the vertical distance over the change in the horizontal distance. The variable m is always used to represent slope.
12
12
xx
yy
x
y
run
risemslope
Means distance. It is the Greek letter Delta
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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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If a line is in the form Ax + By = C, we can use the following formula to find the slope:
B
Am
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Positive or Negative SlopePositive or Negative Slope
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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2x + 1y = -3( -1.5, 0 )
( 0 , -3)
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Examples
1
2m
312 yx 0,5.1 and 3,0
05.1
)3(0
25.1
3
m
Either way. . .
We get m = -2
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Horizontal lines have a slope of zero while vertical lines have no slope
HorizontalVertical
m = 0
m = no slope