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Introduction To Slope - PowerPoint PPT Presentation


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Introduction To Slope. Slope is a measure of Steepness. Types of Slope. Zero. Negative. Positive. Undefined or No Slope. Slope is sometimes referred to as the “rate of change” between 2 points. The letter “m” is used to represent slope. If given 2 points on

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Presentation Transcript
slide1

Introduction

To Slope

slide2

Slope is a

measure of

Steepness.

slide3

Types of Slope

Zero

Negative

Positive

Undefined

or

No Slope

slide4

Slope is sometimes

referred to as the

“rate of change”

between 2 points.

slide5

The letter “m” is

used to represent slope.

slide6

If given 2 points on

a line, you may find

the slope using the

formula

slide7

The formula may

sometimes be written

as

What is ∆ ?

slide8

Find the slope of the

line through the

points (3,7) and (5, 19).

x1

y1

x2

y2

m = 19 – 7

5 – 3

m = 12

2

m = 6

slide9

Intuitive:

Find the slope of the

line through the

points (3,7) and (5, 19).

m = 12

m = 6

2

slide10

(3, 4) and (-6, -2)

x1

y1

x2

y2

m = -2 – 4

-6 – 3

m = -6

-9

m = ⅔

slide11

Intuitive:

Find the slope of the

line through the

points (3,4) and (-6, -2).

m = -6

m = ⅔

-9

slide12

What if the

numerator is 0?

Then the slope is

zero – horizontal line

slide13

What if the

denominator is 0?

Then the slope is

undefined – vertical line

slide14

If given the graph

of a line, find the

slope by using the

“triangle” method to

find the rise over run.

slide15

rise = 4

m= rise

run

run = 5

m= 4/5

slide16

Practice:

(-2, 8) and (6, 24)

(-3, 9) and (-6, -3)

(-1, 2) and (-4, -6)