The image of the point $$ (4,-9) $$ under a translation is $$ (9,-14) $$. Find the coordinates of the image of the point $$ (-9,-8) $$ under the same translation.

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To determine the image of the point $$ (-9, -8) $$ under the same translation that maps $$ (4, -9) $$ to $$ (9, -14) $$, follow these steps:

1. **Find the Translation Vector:**
   
   The translation moves $$ (4, -9) $$ to $$ (9, -14) $$. The translation vector $$(\Delta x, \Delta y)$$ can be calculated as:
   $$
   \Delta x = 9 - 4 = 5
   $$
   $$
   \Delta y = -14 - (-9) = -5
   $$
   So, the translation vector is $$ (5, -5) $$.

2. **Apply the Translation to $$ (-9, -8) $$:**
   
   Add the translation vector to the original point:
   $$
   x' = -9 + 5 = -4
   $$
   $$
   y' = -8 - 5 = -13
   $$
   
   Therefore, the image of the point $$ (-9, -8) $$ under this translation is $$ (-4, -13) $$.

**Answer:** $$\boxed{\,(-4,\ -13)\,}$$
The image of the point $$ (-9, -8) $$ under the same translation is $$ (-4, -13) $$.

The image of the point under a translation is . Find the coordinates of the
image of the point under the same translation.

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