## UNDERSTANDING COORDINATE PLANES

Understanding Coordinate Planes :

Here we are going to see some basic concepts about coordinate planes.

The coordinate plane is constructed by starting with a horizontal line and a vertical line in a plane. These lines are called the coordinate axes.

The intersection point of the coordinate axes is called the origin; it receives a label of 0 on both axes.

The first coordinate indicates the horizontal distance from the origin, with positive numbers corresponding to points to the right of the origin and negative numbers corresponding to points to the left of the origin.

The second coordinate indicates the vertical distance from the origin, with positive numbers corresponding to points above the origin and negative numbers corresponding to points below the origin.

## Writing the Points Plotted on a Coordinate Plane- Examples

Question 1 :

For give the coordinates of the specified point using the figure below:

Solution :

The vertical line passing through the point A and the horizontal line passing through A will intersect the x and y - axis on 3 and 2 respectively. So the point A be (3, 2)

In the same way, by marking the point B we get B (1, 2)

C (-1, 2), D (-3, 1), E (-3, -2), F (-2, -1), G(1, -2) and H (3, -1)

Question 2 :

Sketch a coordinate plane showing the following four points, their coordinates, and the rectangles determined : (1, 2), (−2, 2), (−3,−1), (2,−3).

Solution :

Question 3 :

Sketch the graph of the function f whose domain is the set of five numbers {−2,−1, 0, 1, 2} and whose values are defined by the following table:

Solution :

From the table, we may mark the points as (-2, 1) (-1, 3) (0, -1) (1, -2) and (2, 3).

After having gone through the stuff given above, we hope that the students would have understood "Understanding Coordinate Planes".

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