Line b has a slope of 2/9 . Line c has a slope of 9/2 .Are line b and line c parallel or perpendicular? Choices: (A)parallel (B)perpendicular (C)neither

Line b slope comparison: Line b slope: 2/9. Line c slope: 9/2. Are these the same or opposite reciprocals?Reciprocal comparison: Reciprocal of 2/9 is 9/2. Since line c's slope is 9/2, they are opposite reciprocals.Perpendicular lines: Opposite reciprocals mean the lines are perpendicular.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Line $b$ has a slope of $\frac{2}{9}$ . Line $c$ has a slope of $\frac{9}{2}$ . 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{2}{9}

. Line

c

has a slope of

\frac{9}{2}

. Are line

b

and line

c

parallel or perpendicular?

\newline

Choices:

\newline

(A) parallel

\newline

(B) perpendicular

\newline

Line b slope comparison: Line b slope: $\frac{2}{9}$ . Line c slope: $\frac{9}{2}$ . Are these the same or opposite reciprocals?
Reciprocal comparison: Reciprocal of $\frac{2}{9}$ is $\frac{9}{2}$ . Since line $c$ 's slope is $\frac{9}{2}$ , they are opposite reciprocals.
Perpendicular lines: Opposite reciprocals mean the lines are perpendicular.