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Line aa has a slope of 59\frac{5}{9}. Line bb is perpendicular to aa. What is the slope of line bb? \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 aa has a slope of 59\frac{5}{9}. Line bb is perpendicular to aa. What is the slope of line bb? \newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____\_\_\_\_\_
  1. Find Opposite Reciprocal: Line bb is perpendicular to line aa, so we need to find the opposite reciprocal of the slope of line aa.
  2. Calculate Slope of Line aa: The slope of line aa is 59\frac{5}{9}. The reciprocal of 59\frac{5}{9} is 95\frac{9}{5}.
  3. Determine Slope of Line bb: Since line bb is perpendicular, we take the opposite of 95\frac{9}{5}, which is −95-\frac{9}{5}.

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