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Answer :
Sure, let's solve the problem step-by-step.
To determine which line is perpendicular to a line that has a slope of [tex]\(-\frac{5}{6}\)[/tex], we need to find the slope of the perpendicular line. The key rule here is that two lines are perpendicular if the product of their slopes is [tex]\(-1\)[/tex].
Given the slope of the first line is [tex]\(-\frac{5}{6}\)[/tex], we can find the slope of the perpendicular line as follows:
1. Determine the negative reciprocal:
- The negative reciprocal of a fraction [tex]\(\frac{a}{b}\)[/tex] is [tex]\(-\frac{b}{a}\)[/tex].
- For the slope [tex]\(-\frac{5}{6}\)[/tex], the reciprocal is [tex]\(\frac{6}{5}\)[/tex].
- Taking the negative reciprocal, we get [tex]\(\frac{6}{5}\)[/tex].
2. Interpreting this result:
- Therefore, the slope of the line that is perpendicular to the original line is [tex]\(\frac{6}{5}\)[/tex].
Using this information, you should look for the line that has a slope of [tex]\(\frac{6}{5}\)[/tex]. However, since we don't have the specific equations or slopes of the lines JK, LM, NO, and PQ provided, we can't directly name one of these lines just from the information given. But, you now know how to identify it if the slopes were provided.
To recap:
- The slope of a line perpendicular to a line with slope [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
If you know the slopes of lines JK, LM, NO, and PQ, you can now easily check for one that has the slope [tex]\(\frac{6}{5}\)[/tex].
To determine which line is perpendicular to a line that has a slope of [tex]\(-\frac{5}{6}\)[/tex], we need to find the slope of the perpendicular line. The key rule here is that two lines are perpendicular if the product of their slopes is [tex]\(-1\)[/tex].
Given the slope of the first line is [tex]\(-\frac{5}{6}\)[/tex], we can find the slope of the perpendicular line as follows:
1. Determine the negative reciprocal:
- The negative reciprocal of a fraction [tex]\(\frac{a}{b}\)[/tex] is [tex]\(-\frac{b}{a}\)[/tex].
- For the slope [tex]\(-\frac{5}{6}\)[/tex], the reciprocal is [tex]\(\frac{6}{5}\)[/tex].
- Taking the negative reciprocal, we get [tex]\(\frac{6}{5}\)[/tex].
2. Interpreting this result:
- Therefore, the slope of the line that is perpendicular to the original line is [tex]\(\frac{6}{5}\)[/tex].
Using this information, you should look for the line that has a slope of [tex]\(\frac{6}{5}\)[/tex]. However, since we don't have the specific equations or slopes of the lines JK, LM, NO, and PQ provided, we can't directly name one of these lines just from the information given. But, you now know how to identify it if the slopes were provided.
To recap:
- The slope of a line perpendicular to a line with slope [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
If you know the slopes of lines JK, LM, NO, and PQ, you can now easily check for one that has the slope [tex]\(\frac{6}{5}\)[/tex].
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