Line v has a slope of 9/7 .Line w is perpendicular to v.What is the slope of line w? Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Identify Perpendicular Lines: Line w is perpendicular to line v, so their slopes are opposite reciprocals.Calculate Slope of Line v: Slope of line v: 9/7. To find the slope of line w, take the reciprocal of 9/7, which is 7/9.Determine Slope of Line w: Now, since the slopes of perpendicular lines are not just reciprocals but opposite reciprocals, we need to take the opposite of 7/9. The opposite of 7/9 is -7/9.

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Line $v$ has a slope of $\frac{9}{7}$ . Line $w$ is perpendicular to $v$ . What is the slope of line $w$ ? $\newline$ Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\newline$ $\_\_$

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Math Problems

Algebra 1

Slopes of parallel and perpendicular lines

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Q. Line

v

has a slope of

\frac{9}{7}

. Line

w

is perpendicular to

v

. What is the slope of line

w

\newline

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

\newline

\_\_

Identify Perpendicular Lines: Line $w$ is perpendicular to line $v$ , so their slopes are opposite reciprocals.
Calculate Slope of Line $v$ : Slope of line $v$ : $\frac{9}{7}$ . To find the slope of line $w$ , take the reciprocal of $\frac{9}{7}$ , which is $\frac{7}{9}$ .
Determine Slope of Line $w$ : Now, since the slopes of perpendicular lines are not just reciprocals but opposite reciprocals, we need to take the opposite of $\frac{7}{9}$ . The opposite of $\frac{7}{9}$ is $-\frac{7}{9}$ .