1. Graphing Ordered Pairs
Graphing Ordered Pairs – points in the plane
Cartesian Coordinate System
- similar to a grid

2. Graphing Ordered Pairs – points in the plane
Cartesian Coordinate System
- similar to a grid
- has an X horizontal axis
- x
+ x

3. Graphing Ordered Pairs
Graphing Ordered Pairs – points in the plane
+ y
Cartesian Coordinate System
- similar to a grid
- has an X horizontal axis
- has a Y vertical axis
- x
+ x
- y

4. Graphing Ordered Pairs
Graphing Ordered Pairs – points in the plane
+ y
Cartesian Coordinate System
- similar to a grid
- has an X horizontal axis
- has a Y vertical axis
- x
+ x
Coordinates are labeled using an ( x , y ) format. It’s alphabetic, so x always comes before y when you label a coordinate.
- y

5. Graphing Ordered Pairs – points in the plane
+ y
Cartesian Coordinate System
- similar to a grid
- has an X horizontal axis
- has a Y vertical axis
- x
+ x
Coordinates are labeled using an ( x , y ) format. It’s alphabetic, so x always comes before y when you label a coordinate.
- y
The two axis meet at a special coordinate called the “origin”.
The “origin” has the value ( 0 , 0 )

6. Graphing Ordered Pairs – points in the plane
+ y
Notice, to the right of the origin, all x values are positive. To the left of the origin, all x values are negative.
- x
+ x
- y

7. Graphing Ordered Pairs – points in the plane
+ y
Notice, to the right of the origin, all x values are positive. To the left of the origin, all x values are negative.
Also, above the origin, all y values are positive. And below the origin, all y values are negative
- x
+ x
- y

8. Graphing Ordered Pairs – points in the plane
+ y
The two axis also divide the plane into 4 “quadrants”.
- x
+ x
- y

9. Q1 Graphing Ordered Pairs – points in the plane Graphing Ordered Pairs
+ y
The two axis also divide the plane into 4 “quadrants”. These quadrants have specific positive and negative values when naming points. Q1
- x
+ x
Quadrant 1 ( + , + )
- y

10. Q2 Q1 Graphing Ordered Pairs – points in the plane
+ y
The two axis also divide the plane into 4 “quadrants”. These quadrants have specific positive and negative values when naming points. Q2 Q1
- x
+ x
Quadrant 1 ( + , + )
Quadrant 2 ( - , + )
- y

11. Q2 Q1 Q3 Graphing Ordered Pairs
Graphing Ordered Pairs – points in the plane
+ y
The two axis also divide the plane into 4 “quadrants”. These quadrants have specific positive and negative values when naming points. Q2 Q1
- x
+ x
Quadrant 1 ( + , + )
Quadrant 2 ( - , + )
Quadrant 3 ( - , - ) Q3
- y

12. Q2 Q1 Q3 Q4 Graphing Ordered Pairs
Graphing Ordered Pairs – points in the plane
+ y
The two axis also divide the plane into 4 “quadrants”. These quadrants have specific positive and negative values when naming points. Q2 Q1
- x
+ x
Quadrant 1 ( + , + )
Quadrant 2 ( - , + )
Quadrant 3 ( - , - )
Quadrant 4 ( + , - ) Q3 Q4
- y

13. Graphing Ordered Pairs – points in the plane
+ y
Capital letters are used to name points. Here are a few examples of named points and their position on the coordinate system.
- x
+ x
- y

14. Graphing Ordered Pairs – points in the plane
+ y
Capital letters are used to name points. Here are a few examples of named points and their position on the coordinate system.
A ( 2 , 5 ) A
- x
+ x
- y

15. Graphing Ordered Pairs – points in the plane
+ y
Capital letters are used to name points. Here are a few examples of named points and their position on the coordinate system.
A ( 2 , 5 )
B ( - 1, - 2 ) A
- x
+ x B
- y

16. Graphing Ordered Pairs – points in the plane
+ y
Capital letters are used to name points. Here are a few examples of named points and their position on the coordinate system.
A ( 2 , 5 )
B ( - 1, - 2 )
T ( - 9 , 5 ) T A
- x
+ x B
- y

17. Graphing Ordered Pairs
Graphing Ordered Pairs – points in the plane
+ y
You try a few...
A ( __ , __ )
B ( __, __ )
T ( __ , __ ) B A
- x
+ x T
- y
Next page for answers….

18. Graphing Ordered Pairs – points in the plane
+ y
Answers...
A ( -6 , 0 )
B ( 1 , 7 )
T ( 4 , - 2 ) B A
- x
+ x T
- y

19. Using a piece of graph paper, create a coordinate system and plot the points below.
Mr. Hartman will check your answers…
G ( 4 , 3 )
H ( 0 , - 2 )
O ( -1 , - 4 )
M ( 5 , -5 )
E ( - 3 , 2 )