Line r has a slope of 7/6 .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. _____

Perpendicular Line Slope: 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: 7/6.Reciprocal and Opposite of Slope: Reciprocal of 7/6 is 6/7.Final Slope of Line s: Opposite of 6/7 is -6/7, so that's the slope of line s.

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Line $r$ has a slope of $\frac{7}{6}$ . 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{7}{6}

. 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

______

Perpendicular Line Slope: 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: $\frac{7}{6}$ .
Reciprocal and Opposite of Slope: Reciprocal of $\frac{7}{6}$ is $\frac{6}{7}$ .
Final Slope of Line $s$ : Opposite of $\frac{6}{7}$ is $-\frac{6}{7}$ , so that's the slope of line $s$ .