How do you find the slope that is perpendicular to the line #y=3x+2 #?

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How do you find the slope that is perpendicular to the line #y=3x+2 #?

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Answer 1 · 2017-01-24T20:36:53

Any line with gradient #-1/3# will be perpendicular to the line #y = 3x + 2#.

(it should have the form #y = -1/3 x + b#, where b is an arbitrary number)

Explanation:

To find the equation of perpendicular lines, find the reciprocal of the gradient (in this case #1/3#) and multiply it by #-1#. To check, the gradient of the original line multiplied by the gradient of the new line should be equal to #-1#.

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How do you find the slope that is perpendicular to the line #y=3x+2 #?

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