Line m has a slope of 3/7 .Line n is perpendicular to m.What is the slope of line n? Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Perpendicular Lines Relationship: Line n is perpendicular to m, so their slopes are opposite reciprocals.Finding Slope of Line m: Slope of line m: 3/7 To find the slope of line n, take the reciprocal of 3/7, which is 7/3.Reciprocal and Sign Change: Now, since line n is perpendicular, we need the opposite sign. So if m's slope is positive, n's slope will be negative.Slope of Line n: Therefore, the slope of line n is -7/3.

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Line $m$ has a slope of $\frac{3}{7}$ . Line $n$ is perpendicular to $m$ . What is the slope of line $n$ ? $\newline$ 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

m

has a slope of

\frac{3}{7}

. Line

n

is perpendicular to

m

. What is the slope of line

n

\newline

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

\newline

\_\_

Perpendicular Lines Relationship: Line $n$ is perpendicular to $m$ , so their slopes are opposite reciprocals.
Finding Slope of Line $m$ : Slope of line $m$ : $\frac{3}{7}$ $\newline$ To find the slope of line $n$ , take the reciprocal of $\frac{3}{7}$ , which is $\frac{7}{3}$ .
Reciprocal and Sign Change: Now, since line $n$ is perpendicular, we need the opposite sign. So if $m$ 's slope is positive, $n$ 's slope will be negative.
Slope of Line n: Therefore, the slope of line n is $-\frac{7}{3}$ .