Line v has a slope of 6/5 . Line w has a slope of 5/6 .Are line v and line w parallel or perpendicular? Choices: (A)parallel (B)perpendicular (C)neither

Line v vs Line w: Line v slope: 6/5. Line w slope: 5/6. Are they the same or opposite reciprocals?Parallel vs Perpendicular: If lines are parallel, their slopes are equal. If perpendicular, their slopes are opposite reciprocals.Check Opposite Reciprocal: Check if 6/5 is the opposite reciprocal of 5/6. Opposite reciprocal of 6/5 is -5/6.Not Perpendicular: Since 5/6 is not the negative reciprocal of 6/5, lines v and w are not perpendicular.Not Parallel: Since 6/5 is not equal to 5/6, lines v and w are not parallel.Conclusion: Lines v and w are neither parallel nor perpendicular.

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Math Problems

Algebra 1

Slopes of parallel and perpendicular lines

Full solution

Q. Line

v

has a slope of

\frac{6}{5}

. Line

w

has a slope of

\frac{5}{6}

. Are line

v

and line

w

parallel or perpendicular?

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Choices:

\newline

(A) parallel

\newline

(B) perpendicular

\newline

Line $v$ vs Line $w$ : Line $v$ slope: $\frac{6}{5}$ . Line $w$ slope: $\frac{5}{6}$ . Are they the same or opposite reciprocals?
Parallel vs Perpendicular: If lines are parallel, their slopes are equal. If perpendicular, their slopes are opposite reciprocals.
Check Opposite Reciprocal: Check if $\frac{6}{5}$ is the opposite reciprocal of $\frac{5}{6}$ . Opposite reciprocal of $\frac{6}{5}$ is $-\frac{5}{6}$ .
Not Perpendicular: Since $\frac{5}{6}$ is not the negative reciprocal of $\frac{6}{5}$ , lines $v$ and $w$ are not perpendicular.
Not Parallel: Since $\frac{6}{5}$ is not equal to $\frac{5}{6}$ , lines $v$ and $w$ are not parallel.
Conclusion: Lines $v$ and $w$ are neither parallel nor perpendicular.