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Point A is at (2,-5) and is translated using the rule (x-6,y+1) What are the coordinates of the point after the translation?

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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).

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