Line p has a slope of 5/8 .Line q is perpendicular to p.What is the slope of line q? Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Perpendicular Lines: Line q is perpendicular to line p, so their slopes are opposite reciprocals.Slope of line p: Slope of line p: 5/8 To find the slope of line q, take the reciprocal of 5/8, which is 8/5.Reciprocal of Slope: Now, since the lines are perpendicular, the slope of line q should be the negative reciprocal of line p's slope. So, the slope of line q is -8/5.

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Line $p$ has a slope of $\frac{5}{8}$ . Line $q$ is perpendicular to $p$ . What is the slope of line $q$ ? $\newline$ 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

p

has a slope of

\frac{5}{8}

. Line

q

is perpendicular to

p

. What is the slope of line

q

\newline

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

\newline

\_\_

Perpendicular Lines: Line $q$ is perpendicular to line $p$ , so their slopes are opposite reciprocals.
Slope of line $p$ : Slope of line $p$ : $\frac{5}{8}$ $\newline$ To find the slope of line $q$ , take the reciprocal of $\frac{5}{8}$ , which is $\frac{8}{5}$ .
Reciprocal of Slope: Now, since the lines are perpendicular, the slope of line $q$ should be the negative reciprocal of line $p$ 's slope. $\newline$ So, the slope of line $q$ is $-\frac{8}{5}$ .