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Line ee has a slope of 52\frac{5}{2}. Line ff has a slope of 25\frac{2}{5}. Are line ee and line ff parallel or perpendicular?\newlineChoices:\newline(A) parallel\newline(B) perpendicular\newline(C) neither

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Slopes of parallel and perpendicular linesright chevron icon

Full solution

Q. Line ee has a slope of 52\frac{5}{2}. Line ff has a slope of 25\frac{2}{5}. Are line ee and line ff parallel or perpendicular?\newlineChoices:\newline(A) parallel\newline(B) perpendicular\newline(C) neither
  1. Line e and f slopes: Line e slope: 52\frac{5}{2}. Line f slope: 25\frac{2}{5}. Are these the same or opposite reciprocals?
  2. Opposite Reciprocal Comparison: Opposite reciprocal of 52\frac{5}{2} is −25-\frac{2}{5}. But line ff slope is 25\frac{2}{5}, not −25-\frac{2}{5}.
  3. Conclusion: Since 52\frac{5}{2} is not equal to 25\frac{2}{5} and 25\frac{2}{5} is not the opposite reciprocal of 52\frac{5}{2}, lines ee and ff are neither parallel nor perpendicular.

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