** Definition of Origin**

- Origin is the point of intersection of
*x*and*y*axis.

**More about Origin**

- The coordinates of the origin are (0, 0).
- Counting of the coordinates starts from the origin.

**Example of Origin**

- In the figure, x and y axis are intersecting at ‘O’.

This O is called the origin of the graph. Its coordinates are (0, 0).

**Solved Example on Origin**

Translate the book O (0, 0) down 3 units and right 4 units. What are the coordinates of its image O′?

Choices:

A. (4, - 3)

B. (3, - 4)

C. (- 3, 4)

D. (4, - 3)

Correct Answer: A

Solution:

Step 1:When (0, 0) is translated down 3 units, they-coordinate becomes - 3, but thex-coordinate remains same.

Step 2:After translating (0, - 3) to 4 units right, thex-coordinate of the point becomes 4, but they-coordinate remains same.

Step 3:So, the coordinates of the new point O′ are (4, - 3).

**Related Terms for Origin**

- Cartesian Coordinates
- Coordinate Plane
*x*-axis*y*-axis