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Line aa has a slope of 45\frac{4}{5}. 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 45\frac{4}{5}. 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. Identify Perpendicular Line: Line bb is perpendicular to aa, so we need the opposite reciprocal of line aa's slope.
  2. Calculate Slope of Line a: Slope of line aa: 45\frac{4}{5}.
  3. Find Reciprocal of Slope: Reciprocal of 45\frac{4}{5} is 54\frac{5}{4}, but we need the opposite sign.
  4. Determine Slope of Line bb: So, the slope of line bb is −54-\frac{5}{4}.

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