Answer:
We are given that the line AB with coordinates (-4,6) and (-2,3) is translated to the line A'B' with co-ordinates (3,9) and (5,6).
1. In order to check whether the translation is valid,
<em>We will use the distance formula in order to find the distance between the two points of the lines.</em>
If they are same, then we get that the translation applied will be valid.
2. We know that the distance formula for two points and is given by .
So, the distance of AB is,
= = = =
Also, the distance of A'B' is,
= = = =
Thus, we see that the distance between the two points of each line AB and A'B' is i.e. same.
Hence, the given translation is valid.