Line b has a slope of 4/3 .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 4/3. Perpendicular lines have slopes that are negative reciprocals of each other.Find slope of line c: To find the slope of line c, take the reciprocal of 4/3 and then change the sign. The reciprocal of 4/3 is 3/4.Slope of line c: Changing the sign of 3/4 gives us -3/4. So, the slope of line c is -3/4.

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Line $b$ has a slope of $\frac{4}{3}$ . 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. $\newline$ _____

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Math Problems

Algebra 1

Slopes of parallel and perpendicular lines

Full solution

Q. Line

b

has a slope of

\frac{4}{3}

. 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 $\frac{4}{3}$ . Perpendicular lines have slopes that are negative reciprocals of each other.
Find slope of line $c$ : To find the slope of line $c$ , take the reciprocal of $\frac{4}{3}$ and then change the sign. The reciprocal of $\frac{4}{3}$ is $\frac{3}{4}$ .
Slope of line c: Changing the sign of $\frac{3}{4}$ gives us $-\frac{3}{4}$ . So, the slope of line c is $-\frac{3}{4}$ .