# Plotting a Point in Cartesian plane

If the coordinates (x, y) of a point are given, one can plot in the Cartesian x-y plane by taking the following steps.

Step I: Observe the signs of the coordinates and determine the quadrant in which the point should be plotted.

Step II: Take a rectangular Cartesian frame of axes XOX’ and YOY’ cutting each other at right angles at O.

Step III: Take a point M on the x-axis on the side of the concerned quadrant such that the distance of the point M from the origin O equals the numerical value of the x-coordinate. Draw a perpendicular MN on the x-axis. Take a point P on this perpendicular such that MP is equal to the numerical value of the y-coordinate and P is in the concerned quadrant. Thus P is plotted according to its given coordinates.

Examples on plotting a point in Cartesian plane:

Plot the following points in Cartesian plane:

(i) (2, 3)

(ii) (2, -3)

(iii) (-2, -3)

(iv) (-2, 3)

(v) (2, 0)

(vi) (0, -3)

Solution:

(i) (2, 3) is a point in the first quadrant because 2 > 0, 3 > 0. Following the steps 2 and 3 we plot the point P with co-ordinates (2, 3) as shown below.

(ii) (2, -3) is a point in the fourth quadrant because 2 > 0, -3 < 0. Following the steps 2 and 3 we plot the point P with co-ordinates (2, -3) as shown below.

(iii) (-2, -3) is a point in the third quadrant because -2 < 0, -3 < 0. Following the steps 2 and 3 we plot the point P with co-ordinates (-2, -3) as shown below.

(iv) (-2, 3) is a point in the second quadrant because -2 < 0, 3 > 0. Following the steps 2 and 3 we plot the point P with co-ordinates (-2, 3) as shown below.

(v) (0, -3) is a point on the negative y-axis because x-coordinate = 0 and y-coordinate < 0. Following the steps 2 and 3 we plot the point P with co-ordinates (0, -3) as shown below.

These examples will help us to plot different co-ordinate points on Cartesian plane.

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Estimating Sum and Difference | Reasonable Estimate | Procedure | Math

May 22, 24 06:21 PM

The procedure of estimating sum and difference are in the following examples. Example 1: Estimate the sum 5290 + 17986 by estimating the numbers to their nearest (i) hundreds (ii) thousands.

2. ### Round off to Nearest 1000 |Rounding Numbers to Nearest Thousand| Rules

May 22, 24 06:14 PM

While rounding off to the nearest thousand, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by ‘0’. If the digit in the hundreds place is = to or > 5…

3. ### Round off to Nearest 100 | Rounding Numbers To Nearest Hundred | Rules

May 22, 24 05:17 PM

While rounding off to the nearest hundred, if the digit in the tens place is between 0 – 4 i.e. < 5, then the tens place is replaced by ‘0’. If the digit in the units place is equal to or >5, then the…

4. ### Round off to Nearest 10 |How To Round off to Nearest 10?|Rounding Rule

May 22, 24 03:49 PM

Round off to nearest 10 is discussed here. Rounding can be done for every place-value of number. To round off a number to the nearest tens, we round off to the nearest multiple of ten. A large number…