Download the cartesian coordinate system

THE CARTESIAN
COORDINATE SYSTEM
By:
Jovelyn B. Dagooc
WHEN DO WE USE CARTESIAN COORDINATE
SYSTEM?

Plotting and locating of points

Graphing equations

Locating specific cities and towns with
the use of maps with number grids.
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
1
2
3
4
(The horizontal line
of the
Cartesian plane)
-3
-4
The plane that contains the x- and y-axes is called the COORDINATE PLANE
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
Quadrant III
x= (-)
y= (-)
-3
-4
1
2
3
4
Quadrant IV
x= (+)
y=(-)
The four regions, quadrants I to IV, are named in counterclockwise direction
starting from the upper right-hand region
HOW TO PLOT POINTS USING
CARTESIAN PLANE?
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:
Corresponds to a number on
the x-axis
(2,3)
Corresponds to a number on
the y-axis
Let’s try to plot the point
( 2,3 )
y
4
abscissa
3
2
ordinate
1
x
-4
-3
-2
-1 -1
1
2
3
4
-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
Let’s try to locate point A
y
4
3
2
1
x
-4
-3
-2
-1 -1
-2
A
(-3,-3)
-3
-4
1
2
3
4
THE END =)