What is the slope of a line that is perpendicular to the line y = 3x-4 and what is the slope of a line that is parallel to the line y = 1/6x +5?

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justaguide | College Teacher | (Level 2) Distinguished Educator

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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.