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Which of the following lines is parallel to line

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Which of the following lines is parallel to line [#permalink] New post 08 Jul 2006, 07:20
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Which of the following lines is parallel to line x = 1.44 - 3y ?

(A) y = \frac{x}{6} + 25
(B) y = 0.48 - \frac{x}{3}
(C) \frac{x}{3} - y = 2
(D) y + \frac{x}{3} = 10
(E) \frac{x}{4} + 3y = 1

Please provide explanation
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Re: parallel lines [#permalink] New post 08 Jul 2006, 07:35
alimad wrote:
Which of the following lines is parallel to line x = 1.44 - 3*y

y = x/6 + 25
y = .48 - x/3
x/3 - y = 2
y + x/3 = 10
x/4 + 3 * y = 1

Please provide explaination


|| lines have same slope
the given equation has slope = -1/3

so A, C, E out...

B is the same equation as the given equation once you simplify... so B out

D has same slope and y-intersect is different. They will not xcross each other.
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 [#permalink] New post 08 Jul 2006, 08:24
It is D.

to be || m1=m2 or in the general form a1/a2=b1/b2.
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Re: parallel lines [#permalink] New post 21 Feb 2012, 06:17
acfuture wrote:
alimad wrote:
Which of the following lines is parallel to line x = 1.44 - 3*y

y = x/6 + 25
y = .48 - x/3
x/3 - y = 2
y + x/3 = 10
x/4 + 3 * y = 1

Please provide explaination


|| lines have same slope
the given equation has slope = -1/3

so A, C, E out...

B is the same equation as the given equation once you simplify... so B out

D has same slope and y-intersect is different. They will not xcross each other.


I was thinking there is something wrong with B. Now I understand, for 2 lines to be || their constants also need to be different. Good point!
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Re: parallel lines   [#permalink] 21 Feb 2012, 06:17
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