The slope of two perpendicular lines m1 and m2 are related as m1* m2 = -1.
The slope of the line through (1,3) and ( 2,6) is :
m = (6 - 3)/(2 - 1)
=> m = 3
A line perpendicular to this line has a slope -1/3.
The slope of the required line is -1/3.
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