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Line rr has a slope of 75\frac{7}{5}. 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 75\frac{7}{5}. 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. Find Perpendicular Slope: Line ss is perpendicular to rr, so we need the opposite reciprocal of rr's slope.
  2. Calculate Slope of Line rr: Slope of line rr: 75\frac{7}{5}.
  3. Find Reciprocal with Opposite Sign: Reciprocal of 75\frac{7}{5} is 57\frac{5}{7}, but we need the opposite sign.
  4. Determine Slope of Line ss: So, the slope of line ss is −57-\frac{5}{7}.

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