Line q has a slope of (–2)/(3) . Line r is perpendicular to q. What is the slope of line r? Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Find Reciprocal: Line q's slope is -2/3. Perpendicular lines have slopes that are opposite reciprocals.Flip Slope: To find the reciprocal, flip the slope of line q. So, the reciprocal of -2/3 is -3/2.Get Opposite: Now, take the opposite of -3/2 to get the slope of line r. The opposite of -3/2 is 3/2.

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Line $q$ has a slope of $\frac{-2}{3}$ . Line $r$ is perpendicular to $q$ . What is the slope of line $r$ ?

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Algebra 1

Slopes of parallel and perpendicular lines

Full solution

Q. Line

q

has a slope of

\frac{-2}{3}

. Line

r

is perpendicular to

q

. What is the slope of line

r

Find Reciprocal: Line $q$ 's slope is $-\frac{2}{3}$ . Perpendicular lines have slopes that are opposite reciprocals.
Flip Slope: To find the reciprocal, flip the slope of line $q$ . So, the reciprocal of $-\frac{2}{3}$ is $-\frac{3}{2}$ .
Get Opposite: Now, take the opposite of $-\frac{3}{2}$ to get the slope of line $r$ . The opposite of $-\frac{3}{2}$ is $\frac{3}{2}$ .