Line d has a slope of 8/9 .Line e is perpendicular to d.What is the slope of line e? Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Perpendicular Lines: Line e is perpendicular to line d, so their slopes are opposite reciprocals.Slope of Line d: Slope of line d: 8/9 To find the slope of line e, take the reciprocal of 8/9, which is 9/8.Reciprocal of Slope: Now, since line e is perpendicular, we need the opposite sign. So if line d's slope is positive, line e's slope will be negative.Negative Slope: Therefore, the slope of line e is -9/8.

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Line $d$ has a slope of $\frac{8}{9}$ . Line $e$ is perpendicular to $d$ . What is the slope of line $e$ ? $\newline$ 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

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Q. Line

d

has a slope of

\frac{8}{9}

. Line

e

is perpendicular to

d

. What is the slope of line

e

\newline

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

\newline

\_\_

Perpendicular Lines: Line $e$ is perpendicular to line $d$ , so their slopes are opposite reciprocals.
Slope of Line d: Slope of line $d$ : $\frac{8}{9}$ $\newline$ To find the slope of line $e$ , take the reciprocal of $\frac{8}{9}$ , which is $\frac{9}{8}$ .
Reciprocal of Slope: Now, since line $e$ is perpendicular, we need the opposite sign. So if line $d$ 's slope is positive, line $e$ 's slope will be negative.
Negative Slope: Therefore, the slope of line $e$ is $-\frac{9}{8}$ .