Plotting a Point in Cartesian Plane is very easy if you know how to draw a cartesian plane in a coordinate geometry graph. A cartesian graph is an intersection of two points at O. They are represented by two numbers in parentheses, separated by a comma that is called coordinates. Learn more about the cartesian plane from here and know how to draw a cartesian plane and then plot points on the cartesian graph. Scroll down this page to learn plotting points on a cartesian plane with solved examples.

**Read Articles:**

- Worksheet on Plotting Points in the Coordinate Plane
- Quadrants and Convention for Signs of Coordinates

## What is Cartesian Plane?

The cartesian plane is a representation of the position of a point by referring to it in terms of x-axis horizontal line and y-axis vertical line respectively. The point of intersection of x-axes and y-axes is known as the origin. The origin is represented by the letter ‘O’. The coordinates have two values the first number represents the x-coordinate and the second number represents the y-coordinate.

### How to Plot Points in Cartesian Plan?

- First, check the signs of the coordinates of a point and then identify the quadrant in which the point is to be plotted.
- Take the rectangular cartesian frames XOX’ and YOY’ intersecting at the right angles at origin ‘O’.
- Take a point P on the x-axis on the side of the involved quadrant such that the distance of the point P from the origin O equals the value of the x-coordinate.
- Draw a perpendicular line PQ on the x-axis. Take a point M on this perpendicular such that PM is equal to the value of the y-coordinate and M in the relevant quadrant. Thus the point M is plotted as per the given coordinate points.

### Plotting a Point in Cartesian Plane Examples

Plot the following points in the cartesian plane then identify which quadrant or axis it belongs

**Example 1.**

Plot the points (3,4) in the Cartesian plane.

**Solution:**

Given that the points are (3,4)

Here the x-coordinate is 3 and the y-coordinate is 4.

(3, 4) is a point in the first quadrant because both the coordinates are positive.

Now plot the graph using the coordinates (3,4)

**Example 2.**

Plot the points (5,-6) in the Cartesian plane.

**Solution:**

Given that the points are (5,-6)

Here the x-coordinate is 5 and the y-coordinate is -6.

(5, -6) is a point in the fourth quadrant because both the coordinates are positive.

Now plot the graph using the coordinates (5,-6)

**Example 3.**

Plot the points (-7,-8) in the Cartesian plane.

**Solution:**

Given that the points are (-7,-8)

Here the x-coordinate is -7 and the y-coordinate is -8.

(-7, -8) is a point in the third quadrant because both the coordinates are positive.

Now plot the graph using the coordinates (-7,-8)

**Example 4.**

Plot the points (-9,2) in the Cartesian plane.

**Solution:**

Given that the points are (-9,2)

Here the x-coordinate is -9 and the y-coordinate is 2.

(-9, 2) is a point in the second quadrant because both the coordinates are positive.

Now plot the graph using the coordinates (-9,2)

**Example 5.**

Plot the points (1,1) in the Cartesian plane.

**Solution:**

Given that the points are (1,1)

Here the x-coordinate is 1 and the y-coordinate is 1.

(1, 1) is a point in the first quadrant because both the coordinates are positive.

Now plot the graph using the coordinates (1,1).