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Answer :
To find a line that is perpendicular to a line with a slope of [tex]\(-\frac{5}{6}\)[/tex], we need to determine the slope of the perpendicular line.
1. Understand the relationship between slopes of perpendicular lines:
- Perpendicular lines have slopes that are negative reciprocals of each other.
2. Calculate the negative reciprocal:
- Start with the slope [tex]\(-\frac{5}{6}\)[/tex].
- To find the negative reciprocal, first, take the reciprocal: flip the fraction to get [tex]\(\frac{6}{5}\)[/tex].
- Then, change the sign to make it positive, since the original slope is negative.
3. Perpendicular slope:
- The slope of the line that is perpendicular to one with a slope of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
With this information, you can identify a line with the slope [tex]\(\frac{6}{5}\)[/tex] from the given options. Make sure to check which line matches this slope to determine which line is perpendicular to the line with the slope [tex]\(-\frac{5}{6}\)[/tex].
1. Understand the relationship between slopes of perpendicular lines:
- Perpendicular lines have slopes that are negative reciprocals of each other.
2. Calculate the negative reciprocal:
- Start with the slope [tex]\(-\frac{5}{6}\)[/tex].
- To find the negative reciprocal, first, take the reciprocal: flip the fraction to get [tex]\(\frac{6}{5}\)[/tex].
- Then, change the sign to make it positive, since the original slope is negative.
3. Perpendicular slope:
- The slope of the line that is perpendicular to one with a slope of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
With this information, you can identify a line with the slope [tex]\(\frac{6}{5}\)[/tex] from the given options. Make sure to check which line matches this slope to determine which line is perpendicular to the line with the slope [tex]\(-\frac{5}{6}\)[/tex].
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