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

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.

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.

For example, point A is 2 units to the right of the y-axis and 3 units above the axis. Therefore, its coordinates are (2,3). Point B is 3 units to the y-axis and 3 unit above the axis. Therefore, its coordinates are (-3, 3). State the coordinates of point C and point D.