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Answer :
To find which line is perpendicular to a line with a slope of [tex]\(-\frac{5}{6}\)[/tex], we need to determine the slope of the perpendicular line first.
1. Find the Slope of the Perpendicular Line:
- The slope of a line that is perpendicular to another is the negative reciprocal of the original line's slope.
- Given slope: [tex]\(-\frac{5}{6}\)[/tex].
- Calculate the negative reciprocal by flipping the fraction and changing the sign: the negative reciprocal of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
2. Slope of the Perpendicular Line:
- The slope of the perpendicular line is [tex]\(\frac{6}{5}\)[/tex].
Therefore, the line that is perpendicular to the line with the slope [tex]\(-\frac{5}{6}\)[/tex] would have a slope of [tex]\(\frac{6}{5}\)[/tex]. Look through the options to determine which line has this slope, and that will be your answer. With the information provided, you can select the correct line based on this calculated perpendicular slope.
1. Find the Slope of the Perpendicular Line:
- The slope of a line that is perpendicular to another is the negative reciprocal of the original line's slope.
- Given slope: [tex]\(-\frac{5}{6}\)[/tex].
- Calculate the negative reciprocal by flipping the fraction and changing the sign: the negative reciprocal of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
2. Slope of the Perpendicular Line:
- The slope of the perpendicular line is [tex]\(\frac{6}{5}\)[/tex].
Therefore, the line that is perpendicular to the line with the slope [tex]\(-\frac{5}{6}\)[/tex] would have a slope of [tex]\(\frac{6}{5}\)[/tex]. Look through the options to determine which line has this slope, and that will be your answer. With the information provided, you can select the correct line based on this calculated perpendicular slope.
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