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# Which of the following could be the equation of a line parallel to the

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Moderator
Status: It always seems impossible until it's done!!
Joined: 29 Aug 2012
Posts: 984

Kudos [?]: 1463 [0], given: 270

Location: India
GMAT 1: 680 Q47 V34
WE: General Management (Aerospace and Defense)
Which of the following could be the equation of a line parallel to the [#permalink]

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22 Sep 2017, 16:17
Top Contributor
00:00

Difficulty:

15% (low)

Question Stats:

79% (00:20) correct 21% (00:13) wrong based on 34 sessions

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Which of the following could be the equation of a line parallel to the line 3x + 2y = 8?

(A) $$y =\frac{2}{3}x + 7$$
(B) $$y =\frac{-2}{3}x + 7$$
(C) $$y =\frac{3}{2}x + 7$$
(D) $$y =\frac{-3}{2}x + 7$$
(E) $$y =\frac{3}{2}x - 7$$
[Reveal] Spoiler: OA

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Kudos [?]: 1463 [0], given: 270

Director
Joined: 22 May 2016
Posts: 834

Kudos [?]: 270 [0], given: 557

Which of the following could be the equation of a line parallel to the [#permalink]

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22 Sep 2017, 17:06
Gnpth wrote:
Which of the following could be the equation of a line parallel to the line 3x + 2y = 8?

(A) $$y =\frac{2}{3}x + 7$$
(B) $$y =\frac{-2}{3}x + 7$$
(C) $$y =\frac{3}{2}x + 7$$
(D) $$y =\frac{-3}{2}x + 7$$
(E) $$y =\frac{3}{2}x - 7$$

Parallel lines have identical slopes.

Rewrite the given line equation into point-slope form:
$$3x + 2y = 8$$
$$2y = -3x + 8$$
$$y = -\frac{3}{2}x + 4$$

From the answer choices, the only line equation that has a slope identical slope to that in the question is $$y =\frac{-3}{2}x + 7$$ -- that is,

Kudos [?]: 270 [0], given: 557

Which of the following could be the equation of a line parallel to the   [#permalink] 22 Sep 2017, 17:06
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