THE CARTESIAN COORDINATE SYSTEM

1. THE CARTESIAN COORDINATE SYSTEM By: Jovelyn B. Dagooc

2. Locating specific cities and towns with the use of maps with number grids. When do we use cartesian coordinate system? • Plotting and locating of points • Graphing equations

3. PARTS OF THE CARTESIAN COORDINATE SYSTEM y-axis (The vertical line of the Cartesian plane) 4 3 2 1 x-axis -4 -3 -2 -1 1 2 3 4 -1 (The horizontal line of the Cartesian plane) -2 -3 -4 COORDINATE PLANE The plane that contains the x- and y-axes is called the

4. The plane is divided into four region called QUADRANTS y 4 3 Quadrant II Quadrant I 2 x= (-) y= (+) x= (+) y= (+) 1 x -4 -3 -2 -1 1 2 3 4 -1 -2 Quadrant IV Quadrant III -3 x= (-) y= (-) x= (+) y=(-) -4 The four regions, quadrants I to IV, are named in counterclockwise direction starting from the upper right-hand region

5. How to plot points USING CARTESIAN PLANE?

6. ordered pair Ordered pairs of numbers are used to locate points in a plane. The points are named with the reference to the two perpendicular number lines example of an ordered pair: (2,3) Corresponds to a number on the x-axis Corresponds to a number on the y-axis

7. Let’s try to plot the point ( 2 , 3 ) y abscissa 4 3 2 ordinate 1 x -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4 The distance of the point from the y-axis The distance of the point from the x-axis The first number of an ordered pair The second number of an ordered pair

8. Let’s try to locate point A y 4 3 2 1 x -4 -3 -2 -1 1 2 3 4 -1 -2 A (-3,-3) -3 -4

9. The end =)