Ch 4.1

Objective:

To plot points in the coordinate plane.

DefinitionCoordinate Plane

A plane created by the x-axis and y-axis in which the coordinates of a point are its distances from the origin.

More Definitions

Coordinate

A point written as an ordered pair (x, y).

Origin

The point where the x-axis and y-axis cross, written as (0, 0).

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

Number Line

One Dimensional

x

Number Line (x-axis)

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

6

5

4

3

2

1

-1

-2

-3

-4

-5

-6

Number Line

One Dimensional

Coordinate Plane

TwoDimensional

x-axis

y-axis

Coordinate Plane (x –axis & y-axis)

And Another DefinitionQuadrants

The four regions of the plane labeled with Roman numerals. Think of a clock: start at 1:00 and go counter-clockwise (backwards).

D

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

6

5

4

3

2

1

-1

-2

-3

-4

-5

-6

(3,2)(x,y)

Coordinate

(0,0)origin

Plot

A(-3,1)

B(5,-4)

C(-4,-6)

D(0,5)

A

B

C

x-axis

y-axis

Coordinate Plane

TwoDimensional

Number Line

One Dimensional

Plotting Points

Name the quadrant where each point would be located.

1) (2, -6)

2) (5, 7)

3) (-6, -5)

4) (6, -10)

5) (-7, 12)

6) (240, -1)

7) (-19, 7400)

8) (7, 0)

IV

I

III

IV

II

IV

II

NoQuadrant

Ordered Pairs

Domain - set of x-values.

Range - set of y-values.

{ (3, -2), (4, 1), (-3, -4), (0, 2), (-4, 0) }

1) State the domain.

2) State the range.

3) Plot the Points

{ 3, 4, -3, 0, -4}

{ -2, 1, -4, 2, 0 }x

y

0 100 200 300 400 500 600

Animal BrainWeight (g)

Max. Life (yr.)

Mouse

Fox

Jaguar

Sheep

Pig

Seal

Donkey

Chimp

0.4

50.4

157

175

180

325

419

440

3.2

9.8

22.4

20

27

41

40

50

x

y

Brain Weight (g)

Max

. Lif

e (y

rs.)

50

40

30

20

10

Scatterplots

0 100 200 300 400 500 600x

y

Brain Weight (g)

Max

. Lif

e (y

rs.)

50

40

30

20

10

Trend is increasing

Scatterplot - a coordinategraph of data points.

Line of Best Fit-Points act like magnets attracting the line.

Trend looks linear

0 100 200 300 400 500 600x

y

Brain Weight (g)

Max

. Lif

e (y

rs.)

50

40

30

20

10Line of Best Fit-Points act like magnets attracting the line.

Trend is increasing

Trend looks linear

Scatterplot - a coordinategraph of data points.

0 100 200 300 400 500 600x

y

Brain Weight (g)

Max

. Lif

e (y

rs.)

50

40

30

20

10Line of Best Fit-Points act like magnets attracting the line.

Trend is increasing

Trend looks linear

Scatterplot - a coordinategraph of data points.

0 100 200 300 400 500 600x

y

Brain Weight (g)

Max

. Lif

e (y

rs.)

50

40

30

20

10Line of Best Fit-Points act like magnets attracting the line.

Trend is increasing

Trend looks linear

Scatterplot - a coordinategraph of data points.

0 100 200 300 400 500 600x

y

Brain Weight (g)

Max

. Lif

e (y

rs.)

50

40

30

20

10Line of Best Fit-Points act like magnets attracting the line.

Trend is increasing

Trend looks linear

Scatterplot - a coordinategraph of data points.