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Which of the following is most likely to be the equation of line l?

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Bunuel
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Which of the following is most likely to be the equation of line l? [#permalink] New post   05 Jul 2021, 07:45
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A
B
C
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E

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35% (medium)

Question Stats:

66% (01:21) correct 34% (01:13) wrong based on 264 sessions
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Which of the following is most likely to be the equation of line l?

(A) y = 4x + 4
(B) y = 4x - 4
(C) y = x - 6
(D) y = x + 1/2
(E) y = -x - 3

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C
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IanStewart
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Which of the following is most likely to be the equation of line l? [#permalink] New post   Updated on: 05 Jul 2021, 10:58
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Bunuel wrote:
Which of the following is most likely to be the equation of line l?


This is such a strangely phrased question - how do we measure how "likely" it is that an equation is the equation of a certain line? I don't see how a question like this can be posed as if it's a probability question. Anyway, the line has positive slope, and negative y-intercept, so only B and C are possible. The slope of the line doesn't look all that steep, so a slope of 4 looks completely unreasonable, and y = x - 6 is the only equation that appears it might represent the line in the diagram. That line would have a slope of 1, and so would meet either axis at 45-degree angle, which looks about right.

Originally posted by IanStewart on 05 Jul 2021, 07:56.
Last edited by IanStewart on 05 Jul 2021, 10:58, edited 1 time in total.
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Re: Which of the following is most likely to be the equation of line l? [#permalink] New post   05 Jul 2021, 10:52
A and D are out as y intercept should be negative.
E has negative slope so its out.
out of B and C,
C is most likely to be the answer considering the slope of line L.
In case of B, slope shud be much more but from figure,it isnt .
so,


C it is.
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Re: Which of the following is most likely to be the equation of line l? [#permalink] New post   09 Jul 2021, 01:10
Based on the figure above option (C) should be the answer. Because in the figure above y-intercept and x-intercept of line L seems to be equally distanced from the origin. Among B & C, option C is the only one which fetches us the same:

To find y-intercept, x will be 0, hence: y = -6
To find x-intercept, y will be 0, hence: x = 6

Whereas in case of option B: y = 4x - 4

To find y-intercept, x will be 0, hence: y = -4
To find x-intercept, y will be 0, hence: x = 1

which doesn't seem to be the case here. Hence, option C.
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Which of the following is most likely to be the equation of line l? [#permalink] New post   09 Jul 2021, 21:33
Is a question like this likely to appear?

Posted from my mobile device
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Re: Which of the following is most likely to be the equation of line l? [#permalink] New post   10 Jul 2021, 09:17
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The given line has a positive slope and a negative y- intercept. So, only B and C remain.

C is a better option that goes with the given figure.

Answer C
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Re: Which of the following is most likely to be the equation of line l? [#permalink] New post   17 Nov 2021, 21:44
I do not understand why we cant have B as option?
B equation represents +ve slope too, and no where in the question values of X/Y are mentioned.

Experts please help.
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Re: Which of the following is most likely to be the equation of line l? [#permalink] New post   07 Jul 2023, 02:34
This is such a **** question from Manhattan.
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Re: Which of the following is most likely to be the equation of line l? [#permalink]
07 Jul 2023, 02:34
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