Line u has a slope of 5/4 . Line v has a slope of 4/5 .Are line u and line v parallel or perpendicular? Choices: (A)parallel (B)perpendicular (C)neither

Perpendicular slopes comparison: Line u slope: 5/4. Line v slope: 4/5. If they're perpendicular, slopes should be negative reciprocals.Negative reciprocal calculation: Negative reciprocal of 5/4 is -4/5. Line v slope is 4/5, not -4/5.Perpendicular lines determination: Since slopes are not negative reciprocals, lines u and v are not perpendicular.Parallel slopes comparison: If they're parallel, slopes should be the same. Slopes are different, so lines u and v are not parallel.Neither parallel nor perpendicular: Lines u and v are neither parallel nor perpendicular.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Line $u$ has a slope of $\frac{5}{4}$ . Line $v$ has a slope of $\frac{4}{5}$ . Are line $u$ and line $v$ parallel or perpendicular? $\newline$ Choices: $\newline$ (A) parallel $\newline$ (B) perpendicular $\newline$ (C) neither

View step-by-step help

Home

Math Problems

Algebra 1

Slopes of parallel and perpendicular lines

Full solution

Q. Line

u

has a slope of

\frac{5}{4}

. Line

v

has a slope of

\frac{4}{5}

. Are line

u

and line

v

parallel or perpendicular?

\newline

Choices:

\newline

(A) parallel

\newline

(B) perpendicular

\newline

Perpendicular slopes comparison: Line $u$ slope: $\frac{5}{4}$ . Line $v$ slope: $\frac{4}{5}$ . If they're perpendicular, slopes should be negative reciprocals.
Negative reciprocal calculation: Negative reciprocal of $\frac{5}{4}$ is $-\frac{4}{5}$ . Line $v$ slope is $\frac{4}{5}$ , not $-\frac{4}{5}$ .
Perpendicular lines determination: Since slopes are not negative reciprocals, lines $u$ and $v$ are not perpendicular.
Parallel slopes comparison: If they're parallel, slopes should be the same. Slopes are different, so lines $u$ and $v$ are not parallel.
Neither parallel nor perpendicular: Lines $u$ and $v$ are neither parallel nor perpendicular.