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21 Oct 2015, 21:25
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Difficulty:
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Question Stats:
69% (01:30) correct
31%
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based on 5979
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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
Attachment:
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Updated on: 25 May 2020, 13:39
Originally posted by BrentGMATPrepNow on 28 Aug 2017, 13:28.
Last edited by BrentGMATPrepNow on 25 May 2020, 13:39, edited 1 time in total.
Last edited by BrentGMATPrepNow on 25 May 2020, 13:39, edited 1 time in total.
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Bunuel
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
22 Oct 2015, 00:09
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Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.
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
The graph shows that the line passes (-3,0) and (0,2). So the difference of x is 3(=0-(-3)), the difference of y is 2(=2-0).
The gradient of the line is, therefore, 2/3.
A parallel line should have the same gradient. Among the chioces only (A) has the gradient 2/3 (3y-2x=0 --> 3y=2x --> y= (2/3) x).
So the answer is (A).
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
The graph shows that the line passes (-3,0) and (0,2). So the difference of x is 3(=0-(-3)), the difference of y is 2(=2-0).
The gradient of the line is, therefore, 2/3.
A parallel line should have the same gradient. Among the chioces only (A) has the gradient 2/3 (3y-2x=0 --> 3y=2x --> y= (2/3) x).
So the answer is (A).
