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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 $v$ ? $\newline$ Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\newline$ $\_\_\_\_\_$

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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

?

\newline

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

\newline

\_\_\_\_\_

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 $-\frac{4}{3}$ .

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\newline

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Question

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Question

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passes through the point

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. What is its equation in point-slope form?

\newline

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