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dolphi86 [110]
2 years ago
12

Which is perpendicular to the line y=-3x-8y

Mathematics
2 answers:
Sonbull [250]2 years ago
6 0

Answer:

3

Step-by-step explanation:

Find the Slope of a Perpendicular Line

y = −3x − 8y

Rewrite in slope-intercept form.

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

y = mx + b

Move all terms containing y to the left side of the equation.

9y = −3x

Divide each term by 9 and simplify.

y = −(x/3)

Write in y = mx + b form.

y = -(1/3)x

Using the slope-intercept form, the slope is − (1/3)

m = -(1/3)

The equation of a perpendicular line to y = − (1/3)x must have a slope that is the negative  reciprocal of the original slope.

mperpendicular = -\frac{1}{-\frac{1}{3} }

Simplify the result.

mperpendicular = 3

atroni [7]2 years ago
4 0

Answer:

I believe the answer is y = -7/3x

Step-by-step explanation:

When you rearrange the equation, y = -3x - 8y, you will get -7y = -3x.

We want the equation to be equal to y by itself. So we divide -7 from both sides, giving us the equation y = 3/7x.

The graph that is perpendicular to y = 3/7x is it's reciprocal: y = -7/3x

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Eileen collected 98 empty cans to recycle and Carl 82 cans. They packed a equal number of cans into each of three boxes. How man
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Masteriza [31]

#1

\\ \rm\Rrightarrow 2y=x-4

\\ \rm\Rrightarrow y=x/2-2

  • m=1/2

Parallel lines have equal slope

Equation in point slope form

\\ \rm\Rrightarrow y-4=1/2(x-1)

\\ \rm\Rrightarrow 2y-8=x-1

\\ \rm\Rrightarrow x-2y+7=0

#2

\\ \rm\Rrightarrow 1/2y-3x=2

\\ \rm\Rrightarrow 1/2y=3x+2

\\ \rm\Rrightarrow y=6x+4

  • m=6

Parallel lines have equal slope

Equation of line

\\ \rm\Rrightarrow y-6=6(x+2)

\\ \rm\Rrightarrow y-6=6x+12

\\ \rm\Rrightarrow 6x-y+18=0

#3

\\ \rm\Rrightarrow 1/k x+5=3y\implies y=x/3k+5/3

  • m1=1/3k

\\ \rm\Rrightarrow y=(2/k+3)x-6/(k+3)

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Slopes remain same

\\ \rm\Rrightarrow \dfrac{1}{3k}=\dfrac{2}{k+3}

\\ \rm\Rrightarrow k+3=6k

\\ \rm\Rrightarrow 5k=3

\\ \rm\Rrightarrow k=3/5

8 0
2 years ago
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