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Which of the following could be the equation of a line paral
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30 Sep 2018, 15:44
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) \(y = \frac{2}{3} x + 7\)
(B) \(y = - \frac{2}{3}x + 7\)
(C) \(y = \frac{3}{2}x + 7\)
(D) \(y = - \frac{3}{2}x + 7\)
(E) \(y = \frac{3}{2}x – 7\)
(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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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Which of the following could be the equation of a line paral
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01 Oct 2018, 09:52
01 Oct 2018, 09:52
2
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) \(y = \frac{3}{2}x – 7\)
(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
Cheers,
Brent
Re: Which of the following could be the equation of a line paral
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18 Jul 2021, 09:13
18 Jul 2021, 09:13
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
