Given the point (5, 12), apply the rule and tell the image after the translation as an ordered pair with no spaces.

(x,y) --> (x + 2, y - 7)

just do what it says:

add 2 to the x
subtract 7 from the y

(5,12) ---> (7,5)

After applying the translation rule to the point (5, 12), the new image would be (7, 5), just like when you try to juggle water balloons and they slip out of your hands!

To apply the translation rule (x, y) → (x + 2, y - 7) to the point (5, 12), we need to add 2 to the x-coordinate and subtract 7 from the y-coordinate.

Adding 2 to the x-coordinate gives us 5 + 2 = 7.
Subtracting 7 from the y-coordinate gives us 12 - 7 = 5.

Therefore, the image point after the translation is (7, 5).

To apply the given translation rule that translates a point (x, y) to (x + 2, y - 7), you need to substitute the coordinates of the original point into the rule and perform the necessary calculations.

For the point (5, 12):

x = 5 + 2 = 7
y = 12 - 7 = 5

Therefore, applying the translation rule to the point (5, 12) gives us the translated point (7, 5).