Line e has a slope of 6/7 . Line f has a slope of 7/6 .Are line e and line f parallel or perpendicular? Choices: (A)parallel (B)perpendicular (C)neither

Calculate Line Slopes: Line e slope: 6/7. Line f slope: 7/6. Are they the same or opposite reciprocals?Determine Relationship: If lines are parallel, their slopes are equal. If they're perpendicular, their slopes are opposite reciprocals.Check Opposite Reciprocal: Check if 6/7 is the opposite reciprocal of 7/6. Opposite reciprocal of 6/7 would be -7/6.Check Perpendicularity: Since 7/6 is not -7/6, lines e and f are not perpendicular. Now, check if they're parallel.Check Parallelism: Since 6/7 is not equal to 7/6, lines e and f are not parallel either.

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Line $e$ has a slope of $\frac{6}{7}$ . Line $f$ has a slope of $\frac{7}{6}$ . 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{6}{7}

. Line

f

has a slope of

\frac{7}{6}

. Are line

e

and line

f

parallel or perpendicular?

\newline

Choices:

\newline

(A) parallel

\newline

(B) perpendicular

\newline

Calculate Line Slopes: Line $e$ slope: $\frac{6}{7}$ . Line $f$ slope: $\frac{7}{6}$ . Are they the same or opposite reciprocals?
Determine Relationship: If lines are parallel, their slopes are equal. If they're perpendicular, their slopes are opposite reciprocals.
Check Opposite Reciprocal: Check if $\frac{6}{7}$ is the opposite reciprocal of $\frac{7}{6}$ . Opposite reciprocal of $\frac{6}{7}$ would be $-\frac{7}{6}$ .
Check Perpendicularity: Since $\frac{7}{6}$ is not $-\frac{7}{6}$ , lines $e$ and $f$ are not perpendicular. Now, check if they're parallel.
Check Parallelism: Since $\frac{6}{7}$ is not equal to $\frac{7}{6}$ , lines $e$ and $f$ are not parallel either.