# Graphing Ordered Pairs

## Presentation on theme: "Graphing Ordered Pairs"— Presentation transcript:

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

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

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

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

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 )

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

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

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

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

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

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

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

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

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

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

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

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….

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

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 )