This vertical line is called the y-axis. y This horizontal line is called the x-axis. y x.

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Transcript of This vertical line is called the y-axis. y This horizontal line is called the x-axis. y x.

This vertical line is called the y-axis.

y

This horizontal line is called the x-axis.

y

x

The x-axis and y-axis separate the coordinate

plane into 4 parts.

y

x

These parts are called Quadrants.

y

x

Quadrant I

y

x

Quadrant II

Quadrant III Quadrant IV

y

x

Each line has a number associated with it.

Just like the dashes on a number line.

y

x-5-5 -4-4 -3-3 -2-2 -1-1 00 11 22 33 44 55

55

44

33

22

11

00

-1-1

-2-2

-3-3

-4-4

-5-5

y

x

This point in the middle of the x-axis and y-axis is called

the originorigin.

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

There are many other points on the coordinate plane.

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

These points are described by ordered pairs.

An ordered pair is a set of parenthesis with two numbers inside. The numbers are separated by a comma.

( 1 , 3 )

( 1 , 3 )

The first number is called the x- coordinate.

( 1 , 3 )

The second number is called the y- coordinate.

( x , y )

( 1 , 3 )

Now, let’s graph this ordered pair on the coordinate plane.

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

( 1 , 3 )

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

( 1 , 3 )

Let’s graph (plot) more points.

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

( 2 , 5 )

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

( 2 , 5 )

Quadrant I

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

(-3 , 4 )

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

(-3 , 4)

Quadrant II

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

(4 , -1)

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

(4 , -1)Quadrant IV

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

(-5 , -3)

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

(-5 , -3)

Quadrant III

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

(-2 , 0)

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

(-2 , 0)Not in any quadrant. This point is on the x-axis.

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

(0 , 4)

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

(0 , 4)

Not in any quadrant. This point is on the y-axis.

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

(0 , 0)

(0,0) is the origin.

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

A

B

D

C

E

F

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

(5 , 4)

B

D

C

E

F

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

(5 , 4)

(1 , 2)

D

C

E

F

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

(5 , 4)

(1 , 2)

D

(-4 , 3)

E

F

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

(5 , 4)

(1 , 2)

(-3 , -1)

(-4 , 3)

E

F

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

(5 , 4)

(1 , 2)

(-3 , -1)

(-4 , 3)

(4 , 0)

F

y

x-5-5 -4-4 -3-3 -2-2 -1-1 11 22 33 44 55

55

44

33

22

11

-1-1

-2-2

-3-3

-4-4

-5-5

(5 , 4)

(1 , 2)

(-3 , -1)

(-4 , 3)

(4 , 0)

(2 , -3)

A scatter plot looks like a line graph without the lines. We just place the dots or in other words, we plot the points.

0

5

10

15

20

25

30

0 1 2 3 4 5 6

Construct a scatter plot to show the relationship between the hours spent practicing shooting darts and the dart shooting score.

Practice Time (hours)

Dart Shooting Score

1 6

2 8

3 13

4 20

5 18

6 27

BOTTOM SIDE

Construct a scatter plot to show the relationship between the hours spent practicing shooting darts and the dart shooting score.

0

5

10

15

20

25

30

0 1 2 3 4 5 6

Practice Time (hrs)

Dar

t Sh

ooti

ng S

core

Construct a scatter plot to show the relationship between the hours spent practicing shooting darts and the dart shooting score.

Practice Time (hours)

Dart Shooting Score

1 6

2 8

3 13

4 20

5 18

6 27

Construct a scatter plot to show the relationship between the hours spent practicing shooting darts and the dart shooting score.

0

5

10

15

20

25

30

0 1 2 3 4 5 6

Practice Time (hrs)

Dar

t Sh

ooti

ng S

core

Construct a scatter plot to show the relationship between the hours spent practicing shooting darts and the dart shooting score.

Practice Time (hours)

Dart Shooting Score

1 6

2 8

3 13

4 20

5 18

6 27

Construct a scatter plot to show the relationship between the hours spent practicing shooting darts and the dart shooting score.

0

5

10

15

20

25

30

0 1 2 3 4 5 6

Practice Time (hrs)

Dar

t Sh

ooti

ng S

core

Construct a scatter plot to show the relationship between the hours spent practicing shooting darts and the dart shooting score.

0

5

10

15

20

25

30

0 1 2 3 4 5 6

Practice Time (hrs)

Dar

t Sh

ooti

ng S

core

Explain the relationship shown in the scatter plot.

0

5

10

15

20

25

30

0 1 2 3 4 5 6

Practice Time (hrs)

Dar

t Sh

ooti

ng S

core

The more time spent practicing, the higher the score.

0

5

10

15

20

25

30

0 1 2 3 4 5 6

Practice Time (hrs)

Dar

t Sh

ooti

ng S

core

Complete problems # 1 – 20 for homework.

Use Graph Paper for ALL graphs.