Given:
A line segment AB on a coordinate plane.
The rule of translation is
[tex]f(x,y)\to (x-6,y-3)[/tex]
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
[tex]f(x,y)\to (x-6,y-3)[/tex]
Using this rule, we get
[tex]A(1,3)\to A'(1-6,3-3)[/tex]
[tex]A(1,3)\to A'(-5,0)[/tex]
And,
[tex]B(5,1)\to B'(5-6,1-3)[/tex]
[tex]B(5,1)\to B'(-1,-2)[/tex]
Therefore, the coordinates of A' and B' are A'(-5,0) and B'(-1,-2).
