Line d has a slope of 5/7 .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. _____

Identify Line Relationship: Line e is perpendicular to d, so their slopes are opposite reciprocals.Calculate Slope of Line d: Slope of line d: 5/7. To find the slope of line e, take the reciprocal of 5/7, which is 7/5.Determine Slope of Line e: Now, since line e is perpendicular, its slope should be the opposite sign of d's slope. So, the slope of line e is -7/5.

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Line $d$ has a slope of $\frac{5}{7}$ . 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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Math Problems

Algebra 1

Slopes of parallel and perpendicular lines

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Q. Line

d

has a slope of

\frac{5}{7}

. 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

\_\_

Identify Line Relationship: Line $e$ is perpendicular to $d$ , so their slopes are opposite reciprocals.
Calculate Slope of Line $d$ : Slope of line $d$ : $\frac{5}{7}$ . $\newline$ To find the slope of line $e$ , take the reciprocal of $\frac{5}{7}$ , which is $\frac{7}{5}$ .
Determine Slope of Line $e$ : Now, since line $e$ is perpendicular, its slope should be the opposite sign of $d$ 's slope. $\newline$ So, the slope of line $e$ is $-\frac{7}{5}$ .