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Line dd has a slope of 56\frac{5}{6}. Line ee is perpendicular to dd. What is the slope of line ee?\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline__\_\_

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Slopes of parallel and perpendicular linesright chevron icon

Full solution

Q. Line dd has a slope of 56\frac{5}{6}. Line ee is perpendicular to dd. What is the slope of line ee?\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline__\_\_
  1. Perpendicular Lines Relationship: Line ee is perpendicular to line dd, so their slopes are opposite reciprocals.
  2. Slope of Line d: Slope of line dd: 56\frac{5}{6}\newlineTo find the slope of line ee, take the reciprocal of 56\frac{5}{6}, which is 65\frac{6}{5}.
  3. Finding Slope of Line e: Now, since the slopes of perpendicular lines are not just reciprocals but also opposite in sign, change the sign of 65\frac{6}{5} to get the slope of line e.\newlineSo, the slope of line e is −65-\frac{6}{5}.

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