Download presentation

Presentation is loading. Please wait.

1
**By Lia Servidio and Kelly Lively**

Slope By Lia Servidio and Kelly Lively

2
**What is Slope? Slope is a measure of how steep a line is**

The greater the slope value, the steeper the line

3
**Slope Formula Slope is generally represented as the letter m**

Equal to the change in the y-coordinates divided by the change in the x-coordinates

4
**How to Find Slope From Two Points**

Identify the two points: (x1,y1) and (x2,y2) Use the formula m=(y2-y1)/(x2-x1) *It does not matter which set of coordinates are considered to be (x1,y1) and which are considered to be (x2,y2)

5
**Example What is the slope between the points (-2,5) and (6,10)?**

If (x1,y1)=(-2,5) and (x2,y2)=(6,10) If (x1,y1)=(6,10) and (x2,y2)=(-2,5)

6
**How to Find Slope From an Equation**

*Slope is equal to m in the equation y=mx+b Set the equation equal to y (if not already) Slope is equal to the constant in front of x

7
**Examples What is the slope of the line y=4x+7?**

Since the equation is already set equal to y, look for the constant next to the x. y=4x+7, m=4 What is the slope of the line 6x+3y=12? Set the equation equal to y: 3y=-6x+12 y=-2x+4 Look for the constant next to the x, m=-2

8
**How to Find Slope Using a Graph**

9
**Horizontal and Vertical Lines**

The slope of a horizontal line is 0 because there is no change in y The slope of a vertical line is undefined because it is impossible to divide by 0 and there is no change in x

10
**Welcome to Who Wants to be a Millionaire**

50:50 15 $1 Million 14 $500,000 Welcome to Who Wants to be a Millionaire 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 1 $100

11
**Another Presentation © 2002 - All rights Reserved Mark E. Damon**

13
15 $1 Million 14 $500,000 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 1 $100

14
**Find the slope of the line through the pair of points:**

15 $1 Million 14 $500,000 13 $250,000 Find the slope of the line through the pair of points: (-4,7),(-6,-4) 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 50:50 1 $100 A: -11/2 B: 11/2 C: -1 D: 2/11

15
15 $1 Million 14 $500,000 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 1 $100

16
**Find the slope: y=-5x-7 15 $1 Million 14 $500,000 13 $250,000 12**

$125,000 Find the slope: y=-5x-7 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 50:50 1 $100 A: 5/7 B: 5 C: -7 D: -5

17
15 $1 Million 14 $500,000 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 1 $100

18
**Find the slope of the line through the pair of points:**

15 $1 Million 14 $500,000 Find the slope of the line through the pair of points: (19,3),(2,3) 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 50:50 1 $100 A: 0 B: 1 C: -1 D: Undefined

19
15 $1 Million 14 $500,000 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 1 $100

20
**Find the slope: 15 $1 Million 14 $500,000 13 $250,000 12 $125,000 11**

$64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 50:50 1 $100 A: 2/3 B: 3/2 C: - 1/2 D: 2

21
15 $1 Million 14 $500,000 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 1 $100

22
**Find the slope of the line through the pair of points:**

15 $1 Million 14 $500,000 13 $250,000 Find the slope of the line through the pair of points: (17,-13),(17,8) 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 50:50 1 $100 A: 0 B: 1 C: Undefined D: -1

23
**You’ve Reached the $1,000 Milestone! Congratulations! Congratulations!**

24
15 $1 Million 14 $500,000 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 1 $100

25
**Find the slope: 8x+3y=-9 15 $1 Million 14 $500,000 13 $250,000 12**

$125,000 Find the slope: 8x+3y=-9 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 50:50 1 $100 A: 9/8 B: -8/3 C: 3/8 D: -1/3

26
15 $1 Million 14 $500,000 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 1 $100

27
**What is the slope of this line?**

15 $1 Million What is the slope of this line? 14 $500,000 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 50:50 1 $100 A: 3/2 B: Undefined C: 1 D: 0

28
15 $1 Million 14 $500,000 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 1 $100

29
**Find the slope: x=-1 15 $1 Million 14 $500,000 13 $250,000 12 $125,000**

11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 50:50 1 $100 A: Undefined B: 0 C: 1 D: -1

30
15 $1 Million 14 $500,000 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 1 $100

31
**What letter is commonly used to represent slope?**

15 $1 Million 14 $500,000 13 $250,000 12 $125,000 What letter is commonly used to represent slope? 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 50:50 1 $100 A: k B: x C: m D: y

32
15 $1 Million 14 $500,000 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 1 $100

33
**Which is not equal to slope?**

15 $1 Million 14 $500,000 13 $250,000 12 $125,000 Which is not equal to slope? 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 50:50 1 $100 A: Rise/Run B: (y2-y1)/(x2-x1) C: ΔY/ ΔX D: Run/Rise

34
**You’ve Reached the $32,000 Milestone! Congratulations!**

35
15 $1 Million 14 $500,000 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 1 $100

36
**How would you describe the slope?**

15 $1 Million 14 $500,000 How would you describe the slope? 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 50:50 1 $100 A: Positive B: Negative C: Zero D: Undefined

37
15 $1 Million 14 $500,000 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 1 $100

38
**The slope of a vertical line is:**

15 $1 Million 14 $500,000 13 $250,000 12 $125,000 The slope of a vertical line is: 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 50:50 1 $100 A: 1 B: -1 C: Undefined D: 0

39
15 $1 Million 14 $500,000 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 1 $100

40
**The slope of a horizontal line is:**

15 $1 Million 14 $500,000 13 $250,000 12 $125,000 The slope of a horizontal line is: 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 50:50 1 $100 A: Undefined B: 1 C: Depends on points used to calculate it D: 0

41
15 $1 Million 14 $500,000 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 1 $100

42
15 $1 Million 14 $500,000 13 $250,000 12 $125,000 Find the slope of the line passing through the points (-3,5) and (-3,7) 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 50:50 1 $100 A: Undefined B: -2/3 C: 2/3 D: 0

43
15 $1 Million 14 $500,000 13 $250,000 12 $125,000 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 1 $100

44
**What is the slope of the equation 1/2x + 2y = 3?**

15 $1 Million 14 $500,000 13 $250,000 12 $125,000 What is the slope of the equation /2x + 2y = 3? 11 $64,000 10 $32,000 9 $16,000 8 $8,000 7 $4,000 6 $2,000 5 $1,000 4 $500 3 $300 2 $200 50:50 1 $100 A: 3/2 B: -1/4 C: 2 D: 1/2

45
**YOU WIN $1 MILLION DOLLARS!**

Similar presentations

OK

15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.

15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on ozone layer and greenhouse effect Genetics for kids ppt on batteries Ppt on non biodegradable wastes Ppt on domestic robots sale Ppt on business etiquettes training day Ppt on french revolution class 9th Ppt on eisenmenger syndrome and pulmonary Ppt online shopping project in jsp Ppt on articles of association template Dr appt on the beach