Identify Coordinates

Learning outcomes :

    1.      Identify the x-axis, y-axis and the origin in the Cartesian Plane.

    In the Cartesian Plane , the horizontal number line is called the x-axis whereas the vertical number line is     called the y-axis. The intersection point of the  x-axis and the y-axis is known as the origin is usually           represented with the letter 0.

Horizontal number line is called the x-axis

 Vartical number line is called the y-axis

Show the origin 

Identify positive and negative at x-axis and y-axis

Vedio for Coordinate Plane

                                           

      2.      Plotting point and stating the coordinates of the points.

      The  position of any point Cartesian Plane can be determined by its distance from each of the axis .

      For example if  point P in the Cartesian Plane is located by an ordered pair(a,b), then

                               I.            The x-coordinate of P is a and the distance of P from the y-axis is a units.

                             II.            The y-coordinate of P is b and the distance of P from the x-axis is b units.

video identify plotting points

example:

  Plot the following points on a Cartesian plane.

1. A(2, 3)
2. B(- 3, 2)   
3. C(- 4,- 3)   
4. D(6, - 4)

 solution

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      3.      Plotting point and stating the distances of the points from the y-axis and x-axis.

      Example.

The coordinate of P are (4,3)

     4.      Stating the coordinates of points in a Cartesian plane.

     The Cartesian plane has four quadrants.

     In quadrant  1, the coordinates of any point are positive.

     In quadrant  2, the x-coordinate of any point is negative

     In quadrant 3, the coordinates of any point are negative.

     In quadrant 4, the y-coordinates of any point are negative.