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Lines k and n are perpendicular. If the slope of line k is -6, what is the slope of line n?

2 Answers

5 votes

Answer:

1/6

Explanation:

Since perpendicular lines have negative reciprocals, we have to find out the negative reciprocal of -6.

-6 is basically -6/1, so the negative reciprocal would mean we have to flip the numerator and denominator values.

That becomes 1/-6, and then we have to get rid of the negative, which makes the final answer 1/6.

Therefore, the negative reciprocal of -6 is 1/6.

Hope this Helps!

User SUBHASIS MONDAL
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8.2k points
5 votes
Perpendicular lines have a negative reciprocal to the original slope, so for example, the negative reciprocal of 1/3 is -3 and the negative reciprocal of -2 is 1/2. The negative reciprocal of -6 is 1/6, which is your answer. I hope this helps!
User D Coetzee
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8.1k points