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Answer :
To find a line that is perpendicular to a given line, you need to determine the negative reciprocal of the original line's slope.
1. Understand the given slope:
The line has a slope of [tex]\(-\frac{5}{6}\)[/tex].
2. Find the perpendicular slope:
To find the slope of a line perpendicular to another, you take the negative reciprocal of the original slope. The negative reciprocal means you flip the fraction and change the sign.
- Start with [tex]\(-\frac{5}{6}\)[/tex].
- Flip the fraction: [tex]\(\frac{6}{5}\)[/tex].
- Change the sign: The negative of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
3. Conclusion:
A line that is perpendicular to the given line will have a slope of [tex]\(\frac{6}{5}\)[/tex].
If you have the equations or slopes of line JK, line LM, line NO, or line PQ, compare their slopes to see which one matches [tex]\(\frac{6}{5}\)[/tex]. That line will be perpendicular to the original line with a slope of [tex]\(-\frac{5}{6}\)[/tex].
1. Understand the given slope:
The line has a slope of [tex]\(-\frac{5}{6}\)[/tex].
2. Find the perpendicular slope:
To find the slope of a line perpendicular to another, you take the negative reciprocal of the original slope. The negative reciprocal means you flip the fraction and change the sign.
- Start with [tex]\(-\frac{5}{6}\)[/tex].
- Flip the fraction: [tex]\(\frac{6}{5}\)[/tex].
- Change the sign: The negative of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
3. Conclusion:
A line that is perpendicular to the given line will have a slope of [tex]\(\frac{6}{5}\)[/tex].
If you have the equations or slopes of line JK, line LM, line NO, or line PQ, compare their slopes to see which one matches [tex]\(\frac{6}{5}\)[/tex]. That line will be perpendicular to the original line with a slope of [tex]\(-\frac{5}{6}\)[/tex].
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