Write a translation rule that maps point D(7, -3) onto point D(2,8)?

@Ms. Sue

(x,y) ---> (x-5, y + 11)

To map point D(7, -3) onto point D(2, 8), you need to find the translation rule that will move point D(7, -3) to point D(2, 8).

To find the translation rule, you need to determine the change in x-coordinates and the change in y-coordinates between the two points.

Change in x-coordinate: 2 - 7 = -5
Change in y-coordinate: 8 - (-3) = 11

The translation rule is then given by:
(x, y) → (x - 5, y + 11)

So, to map point D(7, -3) onto point D(2, 8), you would apply the translation rule and subtract 5 from the x-coordinate and add 11 to the y-coordinate:

D(7, -3) → D(7 - 5, -3 + 11) → D(2, 8)

After applying the translation rule, the point D(7, -3) will now coincide with the point D(2, 8).