Slope of a Line. In skiing, you will usually see these symbols EasyMediumHard.

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Slope of a Line

Transcript of Slope of a Line. In skiing, you will usually see these symbols EasyMediumHard.

Page 1: Slope of a Line. In skiing, you will usually see these symbols EasyMediumHard.

Slope of a Line

Page 2: Slope of a Line. In skiing, you will usually see these symbols EasyMediumHard.

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.

Page 9: Slope of a Line. In skiing, you will usually see these symbols EasyMediumHard.

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

Page 10: Slope of a Line. In skiing, you will usually see these symbols EasyMediumHard.

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

Page 11: Slope of a Line. In skiing, you will usually see these symbols EasyMediumHard.

If a line is in the form Ax + By = C, we can use the following formula to find the slope:

B

Am

Page 12: Slope of a Line. In skiing, you will usually see these symbols EasyMediumHard.

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

Page 13: Slope of a Line. In skiing, you will usually see these symbols EasyMediumHard.

2x + 1y = -3( -1.5, 0 )

( 0 , -3)

Page 14: Slope of a Line. In skiing, you will usually see these symbols EasyMediumHard.

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

Page 15: Slope of a Line. In skiing, you will usually see these symbols EasyMediumHard.

Horizontal lines have a slope of zero while vertical lines have no slope

HorizontalVertical

m = 0

m = no slope