Line b has a slope of 5/4 .Line c is perpendicular to b.What is the slope of line c? Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Identify Perpendicular Lines: Line c is perpendicular to line b, so their slopes are opposite reciprocals.Calculate Slope of Line b: Slope of line b: 5/4 To find the slope of line c, take the reciprocal of 5/4, which is 4/5.Find Reciprocal for Line c: Now, since the slopes of perpendicular lines are not just reciprocals but also opposite in sign, we need to change the sign of 4/5.Adjust Sign for Perpendicularity: The slope of line c is therefore -4/5.

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Line $b$ has a slope of $\frac{5}{4}$ . Line $c$ is perpendicular to $b$ . What is the slope of line $c$ ? $\newline$ 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

Full solution

Q. Line

b

has a slope of

\frac{5}{4}

. Line

c

is perpendicular to

b

. What is the slope of line

c

\newline

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

\newline

\_\_

Identify Perpendicular Lines: Line $c$ is perpendicular to line $b$ , so their slopes are opposite reciprocals.
Calculate Slope of Line b: Slope of line $b$ : $\frac{5}{4}$ $\newline$ To find the slope of line $c$ , take the reciprocal of $\frac{5}{4}$ , which is $\frac{4}{5}$ .
Find Reciprocal for Line $c$ : Now, since the slopes of perpendicular lines are not just reciprocals but also opposite in sign, we need to change the sign of $\frac{4}{5}$ .
Adjust Sign for Perpendicularity: The slope of line $c$ is therefore $-\frac{4}{5}$ .