Line j has a slope of 9/7 . Line k has a slope of 7/9 .Are line j and line k parallel or perpendicular? Choices: (A)parallel (B)perpendicular (C)neither

Check Perpendicularity: Line j slope: 9/7. Line k slope: 7/9. Check if they're opposite reciprocals for perpendicularity.Opposite Reciprocal Comparison: Opposite reciprocal of 9/7 is -7/9. Line k slope is 7/9, not -7/9. So, they ain't perpendicular.Check Parallelism: Check if slopes are equal for parallelism. Line j slope: 9/7. Line k slope: 7/9. They're not the same; not equal.Conclusion: Since they're neither opposite reciprocals nor equal, Lines j and k are neither parallel nor perpendicular.

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Line $j$ has a slope of $\frac{9}{7}$ . Line $k$ has a slope of $\frac{7}{9}$ . 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{9}{7}

. Line

k

has a slope of

\frac{7}{9}

. Are line

j

and line

k

parallel or perpendicular?

\newline

Choices:

\newline

(A) parallel

\newline

(B) perpendicular

\newline

Check Perpendicularity: Line $j$ slope: $\frac{9}{7}$ . Line $k$ slope: $\frac{7}{9}$ . $\newline$ Check if they're opposite reciprocals for perpendicularity.
Opposite Reciprocal Comparison: Opposite reciprocal of $\frac{9}{7}$ is $-\frac{7}{9}$ . $\newline$ Line $k$ slope is $\frac{7}{9}$ , not $-\frac{7}{9}$ . $\newline$ So, they ain't perpendicular.
Check Parallelism: Check if slopes are equal for parallelism. $\newline$ Line $j$ slope: $\frac{9}{7}$ . Line $k$ slope: $\frac{7}{9}$ . $\newline$ They're not the same; not equal.
Conclusion: Since they're neither opposite reciprocals nor equal, Lines $j$ and $k$ are neither parallel nor perpendicular.