Option D:
is the pair of points which does not have y - axis as the line of reflection.
Explanation:
The translation rule to reflect the pair of points across the y - axis is given by

<u>Option A</u>:
:
Let us translate the coordinate B(3,-8) across y - axis using the translation rule
, we get,

Thus, we get, 
Hence, the pair of points
has the line of reflection across y - axis.
Therefore, Option A is not the correct answer.
<u>Option B</u>:
:
Let us translate the coordinate B(-6,2) across y - axis using the translation rule
, we get,

Thus, we get, 
Hence, the pair of points
has the line of reflection across y - axis.
Therefore, Option B is not the correct answer.
<u>Option C</u>:
:
Let us translate the coordinate B(5,-7) across y - axis using the translation rule
, we get,

Thus, we get, 
Hence, the pair of points
has the line of reflection across y - axis.
Therefore, Option C is not the correct answer.
<u>Option D</u>:
:
Let us translate the coordinate B(2,-2) across y - axis using the translation rule
, we get,

Thus, we get, 
Hence, the pair of points
does not has the line of reflection across y - axis.
Therefore, Option D is the correct answer.