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Answer :
To determine which line is perpendicular to a line that has a slope of [tex]\(-\frac{5}{6}\)[/tex], we need to find the negative reciprocal of the given slope. Follow these steps:
1. Identify the given slope: The slope of the given line is [tex]\(-\frac{5}{6}\)[/tex].
2. Find the negative reciprocal:
- The reciprocal of a fraction [tex]\(a/b\)[/tex] is [tex]\(b/a\)[/tex].
- To make it the negative reciprocal, we change the sign.
- So, the negative reciprocal of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
In summary, the slope that is perpendicular to a line with a slope of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
To determine which specific line (JK, LM, NO, PQ) is perpendicular, we need the slope of each line provided in the options. This information is not available in the given question, so among the given options, any line with a slope [tex]\(\frac{6}{5}\)[/tex] would be the correct answer.
Make sure to check the problem statement or additional information to match the line with a slope of [tex]\(\frac{6}{5}\)[/tex].
1. Identify the given slope: The slope of the given line is [tex]\(-\frac{5}{6}\)[/tex].
2. Find the negative reciprocal:
- The reciprocal of a fraction [tex]\(a/b\)[/tex] is [tex]\(b/a\)[/tex].
- To make it the negative reciprocal, we change the sign.
- So, the negative reciprocal of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
In summary, the slope that is perpendicular to a line with a slope of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
To determine which specific line (JK, LM, NO, PQ) is perpendicular, we need the slope of each line provided in the options. This information is not available in the given question, so among the given options, any line with a slope [tex]\(\frac{6}{5}\)[/tex] would be the correct answer.
Make sure to check the problem statement or additional information to match the line with a slope of [tex]\(\frac{6}{5}\)[/tex].
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