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# Which of the following lines is parallel to y = −1/2*x + 3?

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Joined: 02 Sep 2009
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Which of the following lines is parallel to y = −1/2*x + 3?  [#permalink]

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14 Feb 2018, 23:31
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Difficulty:

25% (medium)

Question Stats:

73% (00:41) correct 27% (00:40) wrong based on 84 sessions

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Which of the following lines is parallel to y = −1/2*x + 3?

A. y = 1/2*x − 3

B. 2y = −1/2*x + 4

C. 3y = −x − 5

D. 4y = −2x + 6

E. 5y = −10x + 7

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Which of the following lines is parallel to y = −1/2*x + 3?  [#permalink]

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15 Feb 2018, 00:30
1
y= $$\frac{-1}{2}$$x+3

Slope of line= $$\frac{-1}{2}$$

Parallel lines have the same slope.

A. y = 1/2*x − 3 (Slope= $$\frac{1}{2}$$)

B. 2y = -1/2x +4 OR y= -1/4x + 2 (Slope= $$\frac{-1}{4}$$)

C. 3y = −x − 5 OR y= -1/3x - 5/3 (Slope= $$\frac{-1}{3})$$

D. 4y = −2x + 6 OR y= $$\frac{-1}{2}$$x + $$\frac{6}{4}$$ (Slope=$$\frac{-1}{2}$$)

E. 5y = −10x + 7 OR y= -2x + $$\frac{7}{5}$$

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Re: Which of the following lines is parallel to y = −1/2*x + 3?  [#permalink]

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20 Feb 2018, 06:04
For the 2 lines to be parallel, their slopes have to be the same

only D confirms that

thanks
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Re: Which of the following lines is parallel to y = −1/2*x + 3?  [#permalink]

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20 Feb 2018, 17:17
Bunuel wrote:
Which of the following lines is parallel to y = −1/2*x + 3?

A. y = 1/2*x − 3

B. 2y = −1/2*x + 4

C. 3y = −x − 5

D. 4y = −2x + 6

E. 5y = −10x + 7

Parallel lines have equal slopes. Thus, we need to find an answer choice with a slope of -1/2.

Scanning our answer choices, we see that, in answer choice D, if we divide both sides by 4, we have:

y = -2/4(x) + 3/4

y = -1/2(x) + ¾

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Re: Which of the following lines is parallel to y = −1/2*x + 3?   [#permalink] 20 Feb 2018, 17:17
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