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Line pp has a slope of 83\frac{8}{3}. Line qq is perpendicular to pp. What is the slope of line qq?\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 pp has a slope of 83\frac{8}{3}. Line qq is perpendicular to pp. What is the slope of line qq?\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline__\_\_
  1. Identify Perpendicular Line: Line qq is perpendicular to pp, so we need the opposite reciprocal of pp's slope.
  2. Calculate Slope of Line p: Slope of line p: 83\frac{8}{3}.
  3. Find Reciprocal of Slope: Reciprocal of 83\frac{8}{3} is 38\frac{3}{8}, but we need the opposite sign.
  4. Determine Slope of Line qq: So, the slope of line qq is −38-\frac{3}{8}.

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