1.1 Coordinate Systems and Graphs Cartesian Coordinate System Line – One dimension – Plotting Points Just put a dot! Plane – Two dimensions – Important.

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Presentation transcript:

1.1 Coordinate Systems and Graphs Cartesian Coordinate System Line – One dimension – Plotting Points Just put a dot! Plane – Two dimensions – Important locations x – axis y – axis Origin A point – move x, then y Quadrants – Counter-clockwise!

1.1 Coordinate Systems and Graphs Points (x, y) describes a point on the plane The origin is located at ______ Quadrants – 1 st Quadrant points are ________ – 2 nd Quadrant points are ________ – 3 rd Quadrant points are ________ – 4 th Quadrant points are ________ Plotting Points In which quadrant are the following points located? – (1, 3) – (-5, 2) – (-1, 1) – (0, 3) Plot those points.

1.1 Coordinate Systems and Graphs Equations Given an equation, how can you tell if a certain point is located on the graph of that equation? In other words, how do you know (a, b) will satisfy an equation like y = 2x + 7 Are the following points on the graph of 8x – 4y = 4? – (3, 5) – (5, 17)

1.1 Coordinate Systems and Graphs Graphing by making a table. Graph y = ½ x – 1 by making a table. x ½ x – 1 = y O. P.

1.1 Coordinate Systems and Graphs Graphing by making a table. Graph y = -3x + 4 by making a table. x -3x + 4 = y O. P.

1.1 Coordinate Systems and Graphs Graphing by making a table. Graph x = 3 by making a table. x x = 3 O. P.

1.1 Coordinate Systems and Graphs Graphing by making a table. Graph y = -2 by making a table. x y = -2 O. P.

1.1 Homework HW Pg. 7#1 – 14, 27 – 30