Line f has a slope of 5/2 .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 Lines: Line g is perpendicular to line f, so their slopes are opposite reciprocals.Calculate Slope of Line f: Slope of line f: 5/2 To find the slope of line g, take the reciprocal of 5/2, which is 2/5.Determine Slope of Line g: Now, since the lines are perpendicular, the slope of line g should be the negative reciprocal of line f's slope. So, the slope of line g is -2/5.

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Line $f$ has a slope of $\frac{5}{2}$ . Line $g$ is perpendicular to $f$ . What is the slope of line $g$ ? $\newline$ 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

f

has a slope of

\frac{5}{2}

. Line

g

is perpendicular to

f

. What is the slope of line

g

\newline

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

\newline

\_\_

Identify Perpendicular Lines: Line $g$ is perpendicular to line $f$ , so their slopes are opposite reciprocals.
Calculate Slope of Line $f$ : Slope of line $f$ : $\frac{5}{2}$ $\newline$ To find the slope of line $g$ , take the reciprocal of $\frac{5}{2}$ , which is $\frac{2}{5}$ .
Determine Slope of Line g: Now, since the lines are perpendicular, the slope of line $g$ should be the negative reciprocal of line $f$ 's slope. $\newline$ So, the slope of line $g$ is $-\frac{2}{5}.$