$$(x, y) \rightarrow (x + a, y + b)$$
Where:
* (x, y) are the coordinates of the original point
* (a, b) are the coordinates of the translation vector
* (x + a, y + b) are the coordinates of the translated point
The translation formula can be used to translate a point, a line, or a shape in the coordinate plane. To translate a point, simply add the coordinates of the translation vector to the coordinates of the original point. To translate a line or a shape, translate each point that makes up the line or shape.
For example, to translate the point (2, 3) by the vector (4, 5), we would add 4 to the x-coordinate and 5 to the y-coordinate, giving us the translated point (6, 8).
The translation formula can be used to create many different types of transformations in the coordinate plane. For example, you can use the translation formula to create reflections, rotations, and dilations.