Line b has a slope of 6/5 .Line c is perpendicular to b.What is the slope of line c? Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Line b's slope: Line b's slope is 6/5. Perpendicular lines have slopes that are negative reciprocals.Find slope of line c: To find the slope of line c, take the reciprocal of 6/5, which is 5/6.Determine slope of line c: Now, make it the opposite sign. Since line b's slope is positive, line c's slope should be negative. So, the slope of line c is -5/6.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Line $b$ has a slope of $\frac{6}{5}$ . Line $c$ is perpendicular to $b$ . What is the slope of line $c$ ? $\newline$ Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\newline$ $\_\_$

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{6}{5}

. Line

c

is perpendicular to

b

. What is the slope of line

c

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_

Line $b$ 's slope: Line $b$ 's slope is $\frac{6}{5}$ . Perpendicular lines have slopes that are negative reciprocals.
Find slope of line $c$ : To find the slope of line $c$ , take the reciprocal of $\frac{6}{5}$ , which is $\frac{5}{6}$ .
Determine slope of line $c$ : Now, make it the opposite sign. Since line $b$ 's slope is positive, line $c$ 's slope should be negative. So, the slope of line $c$ is $-\frac{5}{6}$ .