Because there is no #x# term in this equation this is, by definition, a horizontal line where for any and all values of #x#, #y# is #10#. And, by definition a horizontal line has slope#0#.
A line perpendicular to a horizontal line is a vertical line. A vertical line, by definition has a slope which is undefined.
Therefore the slope of any line perpendicular to #y = 10# is undefined.
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