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Which of the following could be the equation of a line paral

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sandy
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Which of the following could be the equation of a line paral [#permalink] New post   30 Sep 2018, 15:44
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Which of the following could be the equation of a line parallel to the line 3x + 2y = 8?

(A) y=23x+7
(B) y=−23x+7
(C) y=32x+7
(D) y=−32x+7
(E) y = \frac{3}{2}x – 7
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Re: Which of the following could be the equation of a line paral [#permalink] New post   01 Oct 2018, 09:52
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sandy 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


KEY CONCEPT: Parallel lines have the same slope

To find the slope of the line 3x + 2y = 8, let's rewrite it in slope y-intercept form (y = mx + b), where m is the slope, and b is the y-intercept.

Take: 3x + 2y = 8
Subtract 3x from both sides to get: 2y = -3x + 8
Divide both sides by 2 to get: y = -3x/2 + 4
Rewrite as: y = (-3/2)x + 4
So, the slope of this line is -3/2

Now check the answer choices to see which one has a slope of -3/2
Luckily, all 5 answer choices are written in slope y-intercept form

Answer: D

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Brent
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Re: Which of the following could be the equation of a line paral [#permalink] New post   18 Jul 2021, 09:13
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Re: Which of the following could be the equation of a line paral [#permalink]
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