Line q has a slope of 8/5 . Line r has a slope of 7/6 .Are line q and line r parallel or perpendicular? Choices: (A)parallel (B)perpendicular (C)neither

Parallel lines slope definition: Parallel lines have the same slope, and perpendicular lines have slopes that are negative reciprocals of each other.Slope of line q: Slope of line q: 8/5.Slope of line r: Slope of line r: 7/6.Check for parallelism: Check if the slopes are the same for parallelism: 8/5 is not equal to 7/6, so they are not parallel.Check for perpendicularity: Check if the slopes are negative reciprocals for perpendicularity: The negative reciprocal of 8/5 is -5/8, which is not equal to 7/6, so they are not perpendicular.Conclusion: Since the slopes are neither the same nor negative reciprocals, the lines are neither parallel nor perpendicular.

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Line $q$ has a slope of $\frac{8}{5}$ . Line $r$ has a slope of $\frac{7}{6}$ . Are line $q$ and line $r$ 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

q

has a slope of

\frac{8}{5}

. Line

r

has a slope of

\frac{7}{6}

. Are line

q

and line

r

parallel or perpendicular?

\newline

Choices:

\newline

(A) parallel

\newline

(B) perpendicular

\newline

Parallel lines slope definition: Parallel lines have the same slope, and perpendicular lines have slopes that are negative reciprocals of each other.
Slope of line q: Slope of line q: $\frac{8}{5}$ .
Slope of line r: Slope of line r: $\frac{7}{6}$ .
Check for parallelism: Check if the slopes are the same for parallelism: $\frac{8}{5}$ is not equal to $\frac{7}{6}$ , so they are not parallel.
Check for perpendicularity: Check if the slopes are negative reciprocals for perpendicularity: The negative reciprocal of $\frac{8}{5}$ is $-\frac{5}{8}$ , which is not equal to $\frac{7}{6}$ , so they are not perpendicular.
Conclusion: Since the slopes are neither the same nor negative reciprocals, the lines are neither parallel nor perpendicular.