Line j has a slope of 7/3 . Line k has a slope of 3/7 .Are line j and line k parallel or perpendicular? Choices: (A)parallel (B)perpendicular (C)neither

Identify Slopes: Line j slope: 7/3. Line k slope: 3/7. Check if slopes are same for parallel or opposite reciprocals for perpendicular.Check Parallel or Perpendicular: Slope of line j is the reciprocal of slope of line k. 7/3 is the reciprocal of 3/7.Confirm Perpendicular Relationship: Since slopes are reciprocals of each other, lines j and k are perpendicular.

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Line $j$ has a slope of $\frac{7}{3}$ . Line $k$ has a slope of $\frac{3}{7}$ . 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{7}{3}

. Line

k

has a slope of

\frac{3}{7}

. Are line

j

and line

k

parallel or perpendicular?

\newline

Choices:

\newline

(A) parallel

\newline

(B) perpendicular

\newline

Identify Slopes: Line $j$ slope: $\frac{7}{3}$ . Line $k$ slope: $\frac{3}{7}$ . $\newline$ Check if slopes are same for parallel or opposite reciprocals for perpendicular.
Check Parallel or Perpendicular: Slope of line $j$ is the reciprocal of slope of line $k$ . $\frac{7}{3}$ is the reciprocal of $\frac{3}{7}$ .
Confirm Perpendicular Relationship: Since slopes are reciprocals of each other, lines $j$ and $k$ are perpendicular.