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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 slope of the perpendicular line.
1. Understand the Math Concept: A line is perpendicular to another line if the slopes of the two lines are negative reciprocals of each other.
2. Find the Negative Reciprocal:
- The given slope is [tex]\(-\frac{5}{6}\)[/tex].
- To find the negative reciprocal, flip the fraction and change the sign. Thus, the negative reciprocal is [tex]\(\frac{6}{5}\)[/tex].
3. Conclusion: Look for a line with a slope of [tex]\(\frac{6}{5}\)[/tex] from the options provided: line JK, line LM, line NO, or line PQ. The line with this slope will be the line that is perpendicular to the one with the slope of [tex]\(-\frac{5}{6}\)[/tex].
If any of these lines (JK, LM, NO, or PQ) has a slope of [tex]\(\frac{6}{5}\)[/tex], then that is the line perpendicular to the original line.
1. Understand the Math Concept: A line is perpendicular to another line if the slopes of the two lines are negative reciprocals of each other.
2. Find the Negative Reciprocal:
- The given slope is [tex]\(-\frac{5}{6}\)[/tex].
- To find the negative reciprocal, flip the fraction and change the sign. Thus, the negative reciprocal is [tex]\(\frac{6}{5}\)[/tex].
3. Conclusion: Look for a line with a slope of [tex]\(\frac{6}{5}\)[/tex] from the options provided: line JK, line LM, line NO, or line PQ. The line with this slope will be the line that is perpendicular to the one with the slope of [tex]\(-\frac{5}{6}\)[/tex].
If any of these lines (JK, LM, NO, or PQ) has a slope of [tex]\(\frac{6}{5}\)[/tex], then that is the line perpendicular to the original line.
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