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The graph of which of the following equations is a straight line that

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Re: The graph of which of the following equations is a straight line that [#permalink]

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New post 25 Jan 2017, 10:15
Bunuel wrote:
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The graph of which of the following equations is a straight line that is parallel to line l in the figure above?

(A) 3y − 2x = 0
(B) 3y + 2x = 0
(C) 3y + 2x = 6
(D) 2y − 3x = 6
(E) 2y + 3x = −6


Recall that if two lines are parallel, then they have the same slope. Therefore, to solve this problem, we need to find the slope of the given line first. Using the provided diagram, we see that we have points of (-3,0) and (0,2). So we have a slope of:

(change in y)/(change in x) = (0 - 2)/(-3 - 0) = -2/-3 = 2/3

We also see that the y intercept is 2; thus, the equation of line l is:

y = (2/3)x + 2

We can manipulate the equation for line l to look more like the answer choices. We can start by multiplying the entire equation by 3 and we obtain:

3y = 2x + 6

3y - 2x = 6

Since answer choice A is the only answer with “3y - 2x,” we see that 3y - 2x = 0, must be parallel to line l.

Answer: A
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Re: The graph of which of the following equations is a straight line that [#permalink]

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New post 01 Mar 2017, 19:38
Using the points (0,2) and (-3,0) in the line equation we get the slope as 2/3 .
While trying to find the slope of given options using what is y/x we see that Option A has slope 2/3.
According to the parallel rule that slope of line 1 =slope of line 2. We can say that Option A is the correct answer

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Re: The graph of which of the following equations is a straight line that [#permalink]

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New post 25 Mar 2017, 12:17
we need a graph with the same slope, slope is 2/3
A fits best

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Re: The graph of which of the following equations is a straight line that [#permalink]

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New post 18 May 2017, 22:28
Rule 1 - Parallel lines have the same slope.
Rule 2 - If y increases, as x increases then slope is always positive => It means option B,C and E out due to negative slope
slope of line -> y intercept/x intercept => 2/3
so answer is A

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Re: The graph of which of the following equations is a straight line that [#permalink]

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New post 18 May 2017, 23:25
Check this post for more on the concept of slope: https://www.veritasprep.com/blog/2016/0 ... line-gmat/
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Re: The graph of which of the following equations is a straight line that [#permalink]

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New post 28 Aug 2017, 13:28
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Bunuel wrote:
Image
The graph of which of the following equations is a straight line that is parallel to line l in the figure above?

(A) 3y − 2x = 0
(B) 3y + 2x = 0
(C) 3y + 2x = 6
(D) 2y − 3x = 6
(E) 2y + 3x = −6

Kudos for a correct solution.

[Reveal] Spoiler:
Attachment:
2015-10-22_0824.png


If two lines are parallel, then they have the SAME SLOPE.

The given line passes through the points (0, 2) and (-3, 0)
Applying the slope formula, we get: Slope = (2 - 0)/(0 - -3)
= 2/3

Now take each equation of each line (in the answer choices) and rewrite it in slope y-intercept form: y = mx + b (where m = slope and b = y-intercept)

The rewritten equation that has m = 2/3, will be the correct answer....

A. 3y - 2x = 0...rewrite as y =(2/3)x + 0
DONE!
This line has a slope of 2/3, so it must be parallel with the given line.

Answer: A

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Re: The graph of which of the following equations is a straight line that   [#permalink] 28 Aug 2017, 13:28

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