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

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

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New post 22 Sep 2017, 15:17
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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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Which of the following could be the equation of a line parallel to the [#permalink]

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New post 22 Sep 2017, 16:06
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,

Answer D
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Which of the following could be the equation of a line parallel to the   [#permalink] 22 Sep 2017, 16:06
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