write a translation rule that maps point d(7 -3) into point d(2 5)

simply look what happened to the x and y.

It should be clear that

(x,y) ----> (x-5, y + 8)

gosh im so dumb...sorry its just its a busy day today :P....

thanks man

To find the translation rule that maps point D(7, -3) into point D(2, 5), we need to determine the horizontal and vertical shifts between the two points.

The horizontal shift is the difference between the x-coordinates: (2 - 7) = -5.
The vertical shift is the difference between the y-coordinates: (5 - (-3)) = 8.

Therefore, the translation rule would be:
- Move 5 units to the left (since the horizontal shift is -5).
- Move 8 units up (since the vertical shift is 8).

Thus, the translation rule can be written as:
T(x, y) = (x - 5, y + 8)