Line r has a slope of 8/3 . Line s has a slope of 6/7 .Are line r and line s parallel or perpendicular? Choices: (A)parallel (B)perpendicular (C)neither

Calculate Slope Comparison: Line r slope: 8/3. Line s slope: 6/7. To be parallel, slopes must be equal. To be perpendicular, slopes must be opposite reciprocals.Check for Equal Slopes: Check if slopes are equal: 8/3 = 6/7? No, they're not equal.Check for Opposite Reciprocals: Check if slopes are opposite reciprocals: Is (8/3) * (6/7) = -1? No, it's not -1.Determine Relationship: Since slopes are neither equal nor opposite reciprocals, lines r and s are neither parallel nor perpendicular.

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Line $r$ has a slope of $\frac{8}{3}$ . Line $s$ has a slope of $\frac{6}{7}$ . Are line $r$ and line $s$ 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

r

has a slope of

\frac{8}{3}

. Line

s

has a slope of

\frac{6}{7}

. Are line

r

and line

s

parallel or perpendicular?

\newline

Choices:

\newline

(A) parallel

\newline

(B) perpendicular

\newline

Calculate Slope Comparison: Line $r$ slope: $\frac{8}{3}$ . Line $s$ slope: $\frac{6}{7}$ . To be parallel, slopes must be equal. To be perpendicular, slopes must be opposite reciprocals.
Check for Equal Slopes: Check if slopes are equal: $\frac{8}{3} = \frac{6}{7}$ ? No, they're not equal.
Check for Opposite Reciprocals: Check if slopes are opposite reciprocals: Is $(\frac{8}{3}) \times (\frac{6}{7}) = -1$ ? No, it's not $-1$ .
Determine Relationship: Since slopes are neither equal nor opposite reciprocals, lines $r$ and $s$ are neither parallel nor perpendicular.