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Answer :
To find a line that is perpendicular to a line with a given slope, we need to determine the negative reciprocal of that slope.
1. Understand the original slope: We're given that the slope of the line is [tex]\( -\frac{5}{6} \)[/tex].
2. Find the negative reciprocal: The perpendicular slope can be found by taking the negative reciprocal of the original slope. The reciprocal of [tex]\( -\frac{5}{6} \)[/tex] is [tex]\( \frac{6}{5} \)[/tex]. When we take the negative of this reciprocal, we get [tex]\( \frac{6}{5} \)[/tex].
3. Identify the option with the slope of [tex]\( \frac{6}{5} \)[/tex]: The line that is perpendicular to the original line will have a slope of [tex]\( \frac{6}{5} \)[/tex].
Therefore, to find out which line (line JK, line LM, line NO, or line PQ) is perpendicular to the given line, you'd look for the line that has a slope of [tex]\( \frac{6}{5} \)[/tex]. In this case, the answer is determined by the list of options you have and which one of them meets this criterion.
1. Understand the original slope: We're given that the slope of the line is [tex]\( -\frac{5}{6} \)[/tex].
2. Find the negative reciprocal: The perpendicular slope can be found by taking the negative reciprocal of the original slope. The reciprocal of [tex]\( -\frac{5}{6} \)[/tex] is [tex]\( \frac{6}{5} \)[/tex]. When we take the negative of this reciprocal, we get [tex]\( \frac{6}{5} \)[/tex].
3. Identify the option with the slope of [tex]\( \frac{6}{5} \)[/tex]: The line that is perpendicular to the original line will have a slope of [tex]\( \frac{6}{5} \)[/tex].
Therefore, to find out which line (line JK, line LM, line NO, or line PQ) is perpendicular to the given line, you'd look for the line that has a slope of [tex]\( \frac{6}{5} \)[/tex]. In this case, the answer is determined by the list of options you have and which one of them meets this criterion.
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