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Line bb has a slope of 65\frac{6}{5}. Line cc is perpendicular to bb. What is the slope of line cc?\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 bb has a slope of 65\frac{6}{5}. Line cc is perpendicular to bb. What is the slope of line cc?\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline__\_\_
  1. Line bb's slope: Line bb's slope is 65\frac{6}{5}. Perpendicular lines have slopes that are negative reciprocals.
  2. Find slope of line cc: To find the slope of line cc, take the reciprocal of 65\frac{6}{5}, which is 56\frac{5}{6}.
  3. Determine slope of line cc: Now, make it the opposite sign. Since line bb's slope is positive, line cc's slope should be negative. So, the slope of line cc is −56-\frac{5}{6}.

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