Line j has a slope of 3/2 . Line k has a slope of 3/2 .Are line j and line k parallel or perpendicular? Choices: (A)parallel (B)perpendicular (C)neither

Determine Slopes: Line j has a slope of 3/2. Line k also has a slope of 3/2. To determine if they are parallel or perpendicular, we need to compare their slopes. Comparison of Slopes: Parallel lines have the same slope. Perpendicular lines have slopes that are negative reciprocals of each other. Conclusion: Since both line j and line k have the same slope, 3/2, they are parallel.

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Line $j$ has a slope of $\frac{3}{2}$ . Line $k$ has a slope of $\frac{3}{2}$ . Are line $j$ and line $k$ 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

j

has a slope of

\frac{3}{2}

. Line

k

has a slope of

\frac{3}{2}

. Are line

j

and line

k

parallel or perpendicular?

\newline

Choices:

\newline

(A) parallel

\newline

(B) perpendicular

\newline

Determine Slopes: Line $j$ has a slope of $\frac{3}{2}$ . Line $k$ also has a slope of $\frac{3}{2}$ . To determine if they are parallel or perpendicular, we need to compare their slopes.
Comparison of Slopes: Parallel lines have the same slope. Perpendicular lines have slopes that are negative reciprocals of each other.
Conclusion: Since both line $j$ and line $k$ have the same slope, $\frac{3}{2}$ , they are parallel.