Line p has a slope of 8/3 .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. _____

Identify Perpendicular Line: Line q is perpendicular to p, so we need the opposite reciprocal of p's slope.Calculate Slope of Line p: Slope of line p: 8/3.Find Reciprocal of Slope: Reciprocal of 8/3 is 3/8, but we need the opposite sign.Determine Slope of Line q: So, the slope of line q is -3/8.

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Line $p$ has a slope of $\frac{8}{3}$ . 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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Math Problems

Algebra 1

Slopes of parallel and perpendicular lines

Full solution

Q. Line

p

has a slope of

\frac{8}{3}

. 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

\_\_

Identify Perpendicular Line: Line $q$ is perpendicular to $p$ , so we need the opposite reciprocal of $p$ 's slope.
Calculate Slope of Line p: Slope of line p: $\frac{8}{3}$ .
Find Reciprocal of Slope: Reciprocal of $\frac{8}{3}$ is $\frac{3}{8}$ , but we need the opposite sign.
Determine Slope of Line $q$ : So, the slope of line $q$ is $-\frac{3}{8}$ .