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

Calculate Slopes: Line b slope: 8/5. Line c slope: 5/8. Check if slopes are same for parallel or opposite reciprocals for perpendicular.Identify Reciprocal: Reciprocal of 8/5 is 5/8. Since 5/8 is the slope of line c, lines b and c are opposite reciprocals.Determine Perpendicular: Opposite reciprocals mean lines are perpendicular. So, the answer is (B)perpendicular.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Line $b$ has a slope of $\frac{8}{5}$ . Line $c$ has a slope of $\frac{5}{8}$ . Are line $b$ and line $c$ 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

b

has a slope of

\frac{8}{5}

. Line

c

has a slope of

\frac{5}{8}

. Are line

b

and line

c

parallel or perpendicular?

\newline

Choices:

\newline

(A) parallel

\newline

(B) perpendicular

\newline

Calculate Slopes: Line $b$ slope: $\frac{8}{5}$ . Line $c$ slope: $\frac{5}{8}$ . $\newline$ Check if slopes are same for parallel or opposite reciprocals for perpendicular.
Identify Reciprocal: Reciprocal of $\frac{8}{5}$ is $\frac{5}{8}$ . $\newline$ Since $\frac{5}{8}$ is the slope of line $c$ , lines $b$ and $c$ are opposite reciprocals.
Determine Perpendicular: Opposite reciprocals mean lines are perpendicular. $\newline$ So, the answer is $(B)$ perpendicular.