Line e has a slope of 5/8 . Line f has a slope of 8/5 .Are line e and line f parallel or perpendicular? Choices: (A)parallel (B)perpendicular (C)neither

Calculate slopes: Line e slope: 5/8. Line f slope: 8/5. Check if slopes are negative reciprocals for perpendicularity.Check negative reciprocals: Negative reciprocal of 5/8 is -8/5. Line f slope is 8/5, which is the positive reciprocal of line e's slope.Verify perpendicularity: Since slopes are positive reciprocals, not negative, lines e and f are not perpendicular.Confirm non-parallel lines: Lines e and f are not parallel either, because their slopes are not equal.

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Line $e$ has a slope of $\frac{5}{8}$ . Line $f$ has a slope of $\frac{8}{5}$ . 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}{8}

. Line

f

has a slope of

\frac{8}{5}

. Are line

e

and line

f

parallel or perpendicular?

\newline

Choices:

\newline

(A) parallel

\newline

(B) perpendicular

\newline

Calculate slopes: Line $e$ slope: $\frac{5}{8}$ . Line $f$ slope: $\frac{8}{5}$ . $\newline$ Check if slopes are negative reciprocals for perpendicularity.
Check negative reciprocals: Negative reciprocal of $\frac{5}{8}$ is $-\frac{8}{5}$ . $\newline$ Line $f$ slope is $\frac{8}{5}$ , which is the positive reciprocal of line $e$ 's slope.
Verify perpendicularity: Since slopes are positive reciprocals, not negative, lines $e$ and $f$ are not perpendicular.
Confirm non-parallel lines: Lines $e$ and $f$ are not parallel either, because their slopes are not equal.