Line a has a slope of 4/9 .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. _____

Perpendicular Lines Relationship: Line b is perpendicular to line a, so their slopes are opposite reciprocals.Slope of Line a: The slope of line a is 4/9. The reciprocal of 4/9 is 9/4.Finding Opposite Reciprocal: Since line b is perpendicular, we take the opposite of 9/4, which is -9/4.

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Line $a$ has a slope of $\frac{4}{9}$ . 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. $\newline$ $\_\_$

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Algebra 1

Slopes of parallel and perpendicular lines

Full solution

Q. Line

a

has a slope of

\frac{4}{9}

. 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

\_\_

Perpendicular Lines Relationship: Line $b$ is perpendicular to line $a$ , so their slopes are opposite reciprocals.
Slope of Line a: The slope of line $a$ is $\frac{4}{9}$ . The reciprocal of $\frac{4}{9}$ is $\frac{9}{4}$ .
Finding Opposite Reciprocal: Since line $b$ is perpendicular, we take the opposite of $\frac{9}{4}$ , which is $-\frac{9}{4}$ .