If you are at (-3,5) and you translate T to give you (6,-8), that means you translated (9,-13) because you moved right 9 units in the positive x direction and down 13 units in the negative y direction.
Apply this translation T to (4,7) and you get (13,-6).
Firstly, we need to find the translation. This can be achieved by calculating the amount the x and y coordinate shifts. Simply use the following equation:
Where x1 and y1 are the coordinates of the first set and x2 and y2 are the second. Plug the variables in:
So the x coordinate is shifted 9 positively and the y coordinate is shifted 13 negatively.
To calculate the new translation of the new point, add the translation onto the given coordinates:
