Line c has a slope of 2/9 .Line d is perpendicular to c.What is the slope of line d? Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Identify Perpendicular Lines: Line d is perpendicular to c, so their slopes are opposite reciprocals.Calculate Slope of Line c: Slope of line c: 2/9 To find the slope of line d, take the reciprocal of 2/9 and change the sign. Reciprocal of 2/9 is 9/2.Find Slope of Line d: Since line d is perpendicular, its slope is the opposite of 9/2, which is -9/2.

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Line $c$ has a slope of $\frac{2}{9}$ . Line $d$ is perpendicular to $c$ . What is the slope of line $d$ ? $\newline$ 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

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Q. Line

c

has a slope of

\frac{2}{9}

. Line

d

is perpendicular to

c

. What is the slope of line

d

\newline

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

\newline

\_\_

Identify Perpendicular Lines: Line $d$ is perpendicular to $c$ , so their slopes are opposite reciprocals.
Calculate Slope of Line $c$ : Slope of line $c$ : $\frac{2}{9}$ $\newline$ To find the slope of line $d$ , take the reciprocal of $\frac{2}{9}$ and change the sign. $\newline$ Reciprocal of $\frac{2}{9}$ is $\frac{9}{2}$ .
Find Slope of Line $d$ : Since line $d$ is perpendicular, its slope is the opposite of $\frac{9}{2}$ , which is $-\frac{9}{2}$ .