Line b has a slope of 4/9 . Line c has a slope of 9/4 .Are line b and line c parallel or perpendicular? Choices: (A)parallel (B)perpendicular (C)neither

Calculate slopes: Line b slope: 4/9. Line c slope: 9/4. Are these the same or opposite reciprocals?Compare reciprocals: Reciprocal of 4/9 is 9/4. Since line c's slope is 9/4, they are opposite reciprocals.Determine perpendicularity: Opposite reciprocals mean the lines are perpendicular.

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Line $b$ has a slope of $\frac{4}{9}$ . Line $c$ has a slope of $\frac{9}{4}$ . Are line $b$ and line $c$ 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

b

has a slope of

\frac{4}{9}

. Line

c

has a slope of

\frac{9}{4}

. Are line

b

and line

c

parallel or perpendicular?

\newline

Choices:

\newline

(A) parallel

\newline

(B) perpendicular

\newline

Calculate slopes: Line $b$ slope: $\frac{4}{9}$ . Line $c$ slope: $\frac{9}{4}$ . Are these the same or opposite reciprocals?
Compare reciprocals: Reciprocal of $\frac{4}{9}$ is $\frac{9}{4}$ . Since line $c$ 's slope is $\frac{9}{4}$ , they are opposite reciprocals.
Determine perpendicularity: Opposite reciprocals mean the lines are perpendicular.