Given:
A line segment AB on a coordinate plane.
The rule of translation is

To find:
The coordinates of A' and B'.
Solution:
From the given graph, it is clear that the coordinates of A and B are A(1,3) and B(5,1).
The rule of translation is

Using this rule, we get


And,


Therefore, the coordinates of A' and B' are A'(-5,0) and B'(-1,-2).