Line a has a slope of 4/5 .Line b is perpendicular to a.What is the slope of line b? Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Identify Perpendicular Line: Line b is perpendicular to a, so we need the opposite reciprocal of line a's slope.Calculate Slope of Line a: Slope of line a: 4/5.Find Reciprocal of Slope: Reciprocal of 4/5 is 5/4, but we need the opposite sign.Determine Slope of Line b: So, the slope of line b is -5/4.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Line $a$ has a slope of $\frac{4}{5}$ . Line $b$ is perpendicular to $a$ . What is the slope of line $b$ ? $\newline$ 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

a

has a slope of

\frac{4}{5}

. Line

b

is perpendicular to

a

. What is the slope of line

b

\newline

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

\newline

\_\_

Identify Perpendicular Line: Line $b$ is perpendicular to $a$ , so we need the opposite reciprocal of line $a$ 's slope.
Calculate Slope of Line a: Slope of line $a$ : $\frac{4}{5}$ .
Find Reciprocal of Slope: Reciprocal of $\frac{4}{5}$ is $\frac{5}{4}$ , but we need the opposite sign.
Determine Slope of Line $b$ : So, the slope of line $b$ is $-\frac{5}{4}$ .