Which of the following could be the equation of a line parallel to the line 3x + 2y = 8?

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BTGmoderatorLU: Moderator; Posts: 2650; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Fri Feb 26, 2021 5:00 pm

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Source: Manhattan Prep

Which of the following could be the equation of a line parallel to the line 3x + 2y = 8?

A. $y=\dfrac{2}{3}x+7$

B. $y=-\dfrac{2}{3}x+7$

C. $y=\dfrac{3}{2}x+7$

D. $y=-\dfrac{3}{2}x+7$

E. $y=\dfrac{3}{2}x-7$

The OA is D

Source: Beat The GMAT — Problem Solving | Fri Feb 26, 2021 5:00 pm

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Re: Which of the following could be the equation of a line parallel to the line 3x + 2y = 8?

by Scott@TargetTestPrep » Sat Mar 13, 2021 3:50 pm

BTGmoderatorLU wrote: ↑
Fri Feb 26, 2021 5:00 pm
Source: Manhattan Prep

Which of the following could be the equation of a line parallel to the line 3x + 2y = 8?

A. $y=\dfrac{2}{3}x+7$

B. $y=-\dfrac{2}{3}x+7$

C. $y=\dfrac{3}{2}x+7$

D. $y=-\dfrac{3}{2}x+7$

E. $y=\dfrac{3}{2}x-7$

The OA is D

Solution:

If two lines are parallel, then they have the same slope. So let’s rewrite the given equation in slope-intercept form:

3x + 2y = 8

2y = -3x + 8

y = (-3/2)x + 4

We see that the slope of the line is -3/2 and the only answer choice that also has a slope of -3/2 is choice D.

Answer: D

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