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Line aa has a slope of 49\frac{4}{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 49\frac{4}{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. Perpendicular Lines Relationship: Line bb is perpendicular to line aa, so their slopes are opposite reciprocals.
  2. Slope of Line a: The slope of line aa is 49\frac{4}{9}. The reciprocal of 49\frac{4}{9} is 94\frac{9}{4}.
  3. Finding Opposite Reciprocal: Since line bb is perpendicular, we take the opposite of 94\frac{9}{4}, which is −94-\frac{9}{4}.

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