Line u has a slope of 3/4 .Line v is perpendicular to u.What is the slope of line v? Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Identify Perpendicular Line: Line v is perpendicular to u, so we need the opposite reciprocal of u's slope.Calculate Slope of Line u: Slope of line u: 3/4.Find Reciprocal with Opposite Sign: Reciprocal of 3/4 is 4/3, but we need the opposite sign.Determine Slope of Line v: So, the slope of line v is -4/3.

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Line $u$ has a slope of $\frac{3}{4}$ . Line $v$ is perpendicular to $u$ . What is the slope of line $v$ ?

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Algebra 1

Slopes of parallel and perpendicular lines

Full solution

Q. Line

u

has a slope of

\frac{3}{4}

. Line

v

is perpendicular to

u

. What is the slope of line

v

Identify Perpendicular Line: Line $v$ is perpendicular to $u$ , so we need the opposite reciprocal of $u$ 's slope.
Calculate Slope of Line u: Slope of line $u$ : $\frac{3}{4}$ .
Find Reciprocal with Opposite Sign: Reciprocal of $\frac{3}{4}$ is $\frac{4}{3}$ , but we need the opposite sign.
Determine Slope of Line $v$ : So, the slope of line $v$ is $-\frac{4}{3}$ .