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The slope of two parallel lines is equal and the product of the slope of two perpendicular lines is equal to -1.
The slope of the line y = 3x - 4 is 3. A line perpendicular to this line will have slope -1/3.
The slope of line y = (1/6)*x + 5 is (1/6), a line parallel to this line has slope 1/6.
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