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Find the slope of a line perpendicular to the line y = –3x – 4.

Question

Find the slope of a line perpendicular to the line y = –3x – 4.

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Solution

The slope of the given line y = -3x - 4 is -3.

The slope of a line perpendicular to a given line is the negative reciprocal of the slope of the given line.

The negative reciprocal of -3 is 1/3.

So, the slope of the line perpendicular to the given line is 1/3.

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1/3

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