Line e has a slope of 5/2 . Line f has a slope of 2/5 .Are line e and line f parallel or perpendicular? Choices: (A)parallel (B)perpendicular (C)neither

Line e and f slopes: Line e slope: 5/2. Line f slope: 2/5. Are these the same or opposite reciprocals?Opposite Reciprocal Comparison: Opposite reciprocal of 5/2 is -2/5. But line f slope is 2/5, not -2/5.Conclusion: Since 5/2 is not equal to 2/5 and 2/5 is not the opposite reciprocal of 5/2, lines e and f are neither parallel nor perpendicular.

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Line $e$ has a slope of $\frac{5}{2}$ . Line $f$ has a slope of $\frac{2}{5}$ . Are line $e$ and line $f$ parallel or perpendicular? $\newline$ Choices: $\newline$ (A) parallel $\newline$ (B) perpendicular $\newline$ (C) neither

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Math Problems

Algebra 1

Slopes of parallel and perpendicular lines

Full solution

Q. Line

e

has a slope of

\frac{5}{2}

. Line

f

has a slope of

\frac{2}{5}

. Are line

e

and line

f

parallel or perpendicular?

\newline

Choices:

\newline

(A) parallel

\newline

(B) perpendicular

\newline

Line e and f slopes: Line e slope: $\frac{5}{2}$ . Line f slope: $\frac{2}{5}$ . Are these the same or opposite reciprocals?
Opposite Reciprocal Comparison: Opposite reciprocal of $\frac{5}{2}$ is $-\frac{2}{5}$ . But line $f$ slope is $\frac{2}{5}$ , not $-\frac{2}{5}$ .
Conclusion: Since $\frac{5}{2}$ is not equal to $\frac{2}{5}$ and $\frac{2}{5}$ is not the opposite reciprocal of $\frac{5}{2}$ , lines $e$ and $f$ are neither parallel nor perpendicular.