Line r has a slope of 8/7 .Line s is perpendicular to r.What is the slope of line s? Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Identify Perpendicular Line: Line s is perpendicular to r, so we need the opposite reciprocal of r's slope.Calculate Slope of Line r: Slope of line r: 8/7.Find Reciprocal of Slope: Reciprocal of 8/7 is 7/8.Determine Opposite of Reciprocal: Opposite of 7/8 is -7/8.Calculate Slope of Line s: So, the slope of line s is -7/8.

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Line $r$ has a slope of $\frac{8}{7}$ . Line $s$ is perpendicular to $r$ . What is the slope of line $s$ ? $\newline$ 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

r

has a slope of

\frac{8}{7}

. Line

s

is perpendicular to

r

. What is the slope of line

s

\newline

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

\newline

\_\_\_\_\_

Identify Perpendicular Line: Line $s$ is perpendicular to $r$ , so we need the opposite reciprocal of $r$ 's slope.
Calculate Slope of Line r: Slope of line $r$ : $\frac{8}{7}$ .
Find Reciprocal of Slope: Reciprocal of $\frac{8}{7}$ is $\frac{7}{8}$ .
Determine Opposite of Reciprocal: Opposite of $\frac{7}{8}$ is $-\frac{7}{8}$ .
Calculate Slope of Line $s$ : So, the slope of line $s$ is $-\frac{7}{8}$ .