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Answer :
To find a line that is perpendicular to a line with a given slope, you need to determine the negative reciprocal of the given slope.
1. Understand the given slope: You are told that the slope of the line is [tex]\(-\frac{5}{6}\)[/tex].
2. Find the negative reciprocal: The negative reciprocal of a fraction [tex]\(\frac{a}{b}\)[/tex] is [tex]\(-\frac{b}{a}\)[/tex]. Here, our original slope is [tex]\(-\frac{5}{6}\)[/tex], so the negative reciprocal would be [tex]\(\frac{6}{5}\)[/tex].
3. Calculate: Taking the negative reciprocal of [tex]\(-\frac{5}{6}\)[/tex] results in [tex]\(\frac{6}{5}\)[/tex].
4. Identify the line: Without additional information about the specific lines listed (NO, LM, JK, PQ), you can't immediately match them to the slope [tex]\(\frac{6}{5}\)[/tex]. However, you now know the slope you are looking for in a perpendicular line.
If any of these lines have the slope of [tex]\(\frac{6}{5}\)[/tex], that line would be perpendicular to the original line with a slope of [tex]\(-\frac{5}{6}\)[/tex].
Make sure to match this calculated slope with the equations or slopes of the lines provided in your actual problem context.
1. Understand the given slope: You are told that the slope of the line is [tex]\(-\frac{5}{6}\)[/tex].
2. Find the negative reciprocal: The negative reciprocal of a fraction [tex]\(\frac{a}{b}\)[/tex] is [tex]\(-\frac{b}{a}\)[/tex]. Here, our original slope is [tex]\(-\frac{5}{6}\)[/tex], so the negative reciprocal would be [tex]\(\frac{6}{5}\)[/tex].
3. Calculate: Taking the negative reciprocal of [tex]\(-\frac{5}{6}\)[/tex] results in [tex]\(\frac{6}{5}\)[/tex].
4. Identify the line: Without additional information about the specific lines listed (NO, LM, JK, PQ), you can't immediately match them to the slope [tex]\(\frac{6}{5}\)[/tex]. However, you now know the slope you are looking for in a perpendicular line.
If any of these lines have the slope of [tex]\(\frac{6}{5}\)[/tex], that line would be perpendicular to the original line with a slope of [tex]\(-\frac{5}{6}\)[/tex].
Make sure to match this calculated slope with the equations or slopes of the lines provided in your actual problem context.
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