How do you find the coordinates of the image of J (-7,-3) after the translation (x,y) (x-4,y+6)

well, just do the rule:

(x,y) -> (x-4,y+6), so
(-7,-3) -> (-7-4,-3+6) = (-11,3)

To find the coordinates of the image of point J (-7, -3) after the translation (x, y) -> (x - 4, y + 6), you need to apply the translation to the given point.

The translation involves shifting the points horizontally by subtracting 4 from the x-coordinate and vertically by adding 6 to the y-coordinate.

So, let's compute the new coordinates:

x-coordinate of the image = x-coordinate of J - 4 = -7 - 4 = -11
y-coordinate of the image = y-coordinate of J + 6 = -3 + 6 = 3

Therefore, the image of point J (-7, -3) after the translation is (-11, 3).

To find the coordinates of the image of point J (-7, -3) after the translation (x, y) → (x - 4, y + 6), follow these steps:

1. Subtract 4 from the x-coordinate of J: -7 - 4 = -11.
2. Add 6 to the y-coordinate of J: -3 + 6 = 3.

Therefore, the coordinates of the image of J after the translation are (-11, 3).