Final answer:
To find the coordinates of point A after applying the translation rule (x-6, y+1), we subtract 6 from the x-coordinate and add 1 to the y-coordinate, resulting in the new coordinates (-4, -4).
Step-by-step explanation:
The question involves performing a translation on a point in the Cartesian coordinate system. To find the coordinates of point A after the translation using the rule (x-6, y+1), we apply the rule to the original coordinates of point A, which are (2, -5).
Step 1: Apply the transformation to the x-coordinate:
Translated x = x - 6 = 2 - 6 = -4
Step 2: Apply the transformation to the y-coordinate:
Translated y = y + 1 = -5 + 1 = -4
After this translation, point A moves to the new coordinates (-4, -4).