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Line bb has a slope of 43\frac{4}{3}. 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_____

Full solution

Q. Line bb has a slope of 43\frac{4}{3}. 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 b's slope: Line b's slope is 43\frac{4}{3}. Perpendicular lines have slopes that are negative reciprocals of each other.
  2. Find slope of line cc: To find the slope of line cc, take the reciprocal of 43\frac{4}{3} and then change the sign. The reciprocal of 43\frac{4}{3} is 34\frac{3}{4}.
  3. Slope of line c: Changing the sign of 34\frac{3}{4} gives us 34-\frac{3}{4}. So, the slope of line c is 34-\frac{3}{4}.

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