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Line rr has a slope of 87\frac{8}{7}. Line ss is perpendicular to rr. What is the slope of line ss? \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 rr has a slope of 87\frac{8}{7}. Line ss is perpendicular to rr. What is the slope of line ss? \newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____\_\_\_\_\_
  1. Identify Perpendicular Line: Line ss is perpendicular to rr, so we need the opposite reciprocal of rr's slope.
  2. Calculate Slope of Line r: Slope of line rr: 87\frac{8}{7}.
  3. Find Reciprocal of Slope: Reciprocal of 87\frac{8}{7} is 78\frac{7}{8}.
  4. Determine Opposite of Reciprocal: Opposite of 78\frac{7}{8} is −78-\frac{7}{8}.
  5. Calculate Slope of Line ss: So, the slope of line ss is −78-\frac{7}{8}.

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