8. Which expression deschibes the translation of a point from \( (-3,4) \) to \( (4,-1) \) A. 7 units left and 5 units up B. 7 units right and 5 units up C. 7 units left and 5 units down D. 7 units right and 5 units down

To determine the translation from the point \((-3, 4)\) to the point \((4, -1)\), we can analyze the changes in the x-coordinate and the y-coordinate. 1. **Change in x-coordinate**: - Starting point: \(-3\) - Ending point: \(4\) - Change: \(4 - (-3) = 4 + 3 = 7\) (This is a movement to the right.) 2. **Change in y-coordinate**: - Starting point: \(4\) - Ending point: \(-1\) - Change: \(-1 - 4 = -5\) (This is a movement down.) Putting this together, the translation is: - 7 units to the right (positive x-direction) - 5 units down (negative y-direction) Thus, the correct answer is: **D. 7 units right and 5 units down.**