Final answer:
The original coordinates of vertex M are (2, 4) and after applying the translation rule, the new coordinates for M' become (-3, -3).
Step-by-step explanation:
The coordinates of vertex M after applying the translation rule (x, y) to (x-5, y-7) to triangle MNP become:
To find the new coordinates of vertex M', use the given rule:
- M(2,4) translates to M'(2-5, 4-7) = M'(-3, -3).
The original coordinates of vertex M are (2, 4).