Line v has a slope of 2/5 . Line w has a slope of 2/5 .Are line v and line w parallel or perpendicular? Choices: (A)parallel (B)perpendicular (C)neither

Slope of Line v: Line v has a slope of 2/5. Line w also has a slope of 2/5.Parallel vs Perpendicular Lines: Parallel lines have the same slope. Perpendicular lines have slopes that are negative reciprocals.Conclusion: Since both lines have the same slope, they are parallel.

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Line $v$ has a slope of $\frac{2}{5}$ . Line $w$ has a slope of $\frac{2}{5}$ .Are line $v$ and line $w$ parallel or perpendicular? $\newline$ Choices: $\newline$ (A)parallel $\newline$ (B)perpendicular $\newline$ (C)neither

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Math Problems

Algebra 1

Slopes of parallel and perpendicular lines

Full solution

Q. Line

v

has a slope of

\frac{2}{5}

. Line

w

has a slope of

\frac{2}{5}

.Are line

v

and line

w

parallel or perpendicular?

\newline

Choices:

\newline

(A)parallel

\newline

(B)perpendicular

\newline

(C)neither

Slope of Line v: Line v has a slope of $\frac{2}{5}$ . Line w also has a slope of $\frac{2}{5}$ .
Parallel vs Perpendicular Lines: Parallel lines have the same slope. Perpendicular lines have slopes that are negative reciprocals of each other, meaning if one line has a slope of $m$ , the other has a slope of $-\frac{1}{m}$ .
Conclusion: Since both lines have the same slope, they are parallel.