<h2>
Answer:</h2>
Hence the correct statement of the given rule is:
The rule (x, y)→(x−6, y−7) represents a translation 6 units left and 7 units down.
<h2>
Step-by-step explanation:</h2>
We are given a rule of transformation as:
(x, y)→(x−6, y−7)
As we know that if there is a shift in the coordinates of x and y some units than the transformation that holds is a translation transformation.
Now from the rule we may observe that the x-ordinate is shifted 6 units to the left and the y-ordinate is shifted 7 units down.
( Since if there was a triangle whose one vertex was at (0,0)
Now the transformed triangle has that transformed vertex at (-6,-7) )
