# IDENTIFY POINTS ON A COORDINATE PLANE

## About "Identify points on a coordinate plane"

Identify points on a coordinate plane :

In mathematics, points are located in reference to two perpendicular number lines called axes.

• Points in the coordinate plane are named by ordered pairs of the form (x, y).
• The first number, or x-coordinate, corresponds to the numbers on the x-axis.
• The second number, or y-coordinate, corresponds to the numbers on the y-axis.
• The origin, labeled O, has coordinates (0, 0).

## Coordinate plane ## Identifying points on a coordinate plane

Example 1 :

Write the ordered pair for point G. Solution : Follow along a vertical line through the point to find the x-coordinate on the x-axis. The x-coordinate is -4.

Follow along a horizontal line through the point to find the y-coordinate on the y-axis. The y-coordinate is 3.

So, the ordered pair for point G is (-4, 3). This can also be written as G(-4, 3).

## Plot the given points in a coordinate plane

The x-axis and y-axis separate the coordinate plane into four regions, called . Notice which quadrants contain positive and negative x-coordinates and which quadrants contain positive and negative y-coordinates. The axes are not located in any of the quadrants.

## Signs of ordered pairs

(+, +)

(-, +)

(-, -)

(+, -)

When graphing an ordered pair, start at the origin. The x-coordinate indicates how many units to move right (positive) or left (negative). The y-coordinate indicates how many units to move up (positive) or down (negative).

 If the x-coordinate value of the given point is 0, then the the given point will be located on y-axis. For example, the point (0,3) (0, -1) will be located on y-axis. If the y-coordinate value of the given point is 0, then the the given point will be located on x-axis. For example, the point (5, 0) (-2, 0) will be located on x-axis.

Example 2 :

Plot the given point on a coordinate plane.

A(3, 5)

Solution :

Both x and y-coordinate values are positive. So the given point will be located on the 1st quadrant.

Step 1 :

From origin, we have to move three units to the right side.

Step 2 :

Now move 4 units upward. .

Step 3 :

Draw a dot and label this point as (3, 5)  After having gone through the stuff given above, we hope that the students would have understood "Identify points on a coordinate plane".