SOLUTION: The image of the point A (1,6) when reflected in a line PQ is (7,6). Write down the equation of the line PQ

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Question 1081956: The image of the point A (1,6) when reflected in a line PQ is (7,6). Write down the equation of the line PQ
Answer by MathLover1(20849) About Me  (Show Source):
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The image of the point A (1,6) when reflected in a line PQ is (7,6). Write down the equation of the line PQ.
if the image of the point (1,6) when reflected in a line PQ is (7,6), line goes through midpoint of A (1,6) and (7,6)

since A (1,6) and (7,6) have same y coordinate, line that passes through is horizontal line y=6
coordinates of the midpoint will be:
%281%2B7%29%2F2, %286%2B6%29%2F2)=(4,6%29).... it is on PQ+ and on y=6 as well
if so, the line PQ must be vertical line x=4; PQ=4