What is the image point of $(-7,7)$ after a translation right 1 unit and down 3 units?

Step 1 ：Given the original point (-7, 7) and the translation vector (1, -3)

Step 2 ：Calculate the image point: (-7 + 1, 7 - 3) = (-6, 4)

Step 3 ：\(\boxed{(-6, 4)}\)