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

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Math Expert
Joined: 02 Sep 2009
Posts: 58400
Which of the following could be the equation of a line parallel to the  [#permalink]

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09 Oct 2018, 21:47
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Difficulty:

5% (low)

Question Stats:

83% (00:35) correct 17% (01:06) wrong based on 40 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) $$y = \frac{3}{2}x – 7$$

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

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10 Oct 2018, 02:22
Bunuel 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) $$y = \frac{3}{2}x – 7$$

CONCEPT: For lines to be parallel, The lines must have Same slope $$m_1 = m_2$$

Given Line may be re-written as y = (-3/2)x+4
i.e. Slope of given line, $$m_1 = -(3/2)$$

Option D i.e. $$y = - \frac{3}{2}x + 7$$ also has slope $$m_2 = -(3/2)$$

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Re: Which of the following could be the equation of a line parallel to the   [#permalink] 10 Oct 2018, 02:22
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