Line f has a slope of 9/8 .Line g is perpendicular to f.What is the slope of line g? Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Identify Perpendicular Relationship: Line g is perpendicular to f, so we need the opposite reciprocal of f's slope.Calculate Slope of Line f: Slope of line f: 9/8.Find Reciprocal of Slope: Reciprocal of 9/8 is 8/9.Determine Opposite Reciprocal: Opposite of 8/9 is -8/9, so that's the slope of line g.

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Line $f$ has a slope of $\frac{9}{8}$ . Line $g$ is perpendicular to $f$ . What is the slope of line $g$ ?

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Math Problems

Algebra 1

Slopes of parallel and perpendicular lines

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Q. Line

f

has a slope of

\frac{9}{8}

. Line

g

is perpendicular to

f

. What is the slope of line

g

Identify Perpendicular Relationship: Line $g$ is perpendicular to $f$ , so we need the opposite reciprocal of $f$ 's slope.
Calculate Slope of Line f: Slope of line f: $\frac{9}{8}$ .
Find Reciprocal of Slope: Reciprocal of $\frac{9}{8}$ is $\frac{8}{9}$ .
Determine Opposite Reciprocal: Opposite of $\frac{8}{9}$ is $-\frac{8}{9}$ , so that's the slope of line $g$ .