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# Which of the following could be the equation of line m?

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Manager
Joined: 18 Feb 2015
Posts: 85
Which of the following could be the equation of line m?  [#permalink]

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15 Oct 2016, 04:35
2
4
00:00

Difficulty:

25% (medium)

Question Stats:

76% (01:32) correct 24% (01:27) wrong based on 127 sessions

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Which of the following could be the equation of line m?
(A) 6y + 6x = 7
(B) 3y = -4x - 3
(C) 5y + 10 = -4x
(D) y = 2
(E) x = -2

Hey all,

Does anyone know how to solve this problem? The point in the official answer which I am struggling to understand is that I can't determine by looking at the graph if the line has a positive slope or negative. for example, the official answer starts by saying that " Since there are no numbers on the graph, you can’t determine the actual equation of the line, but the line clearly has a negative slope (it points down when reading from left to right) and a positive y-intercept (it crosses the y-axis
above the origin)"

How do we read from "LEFT TO RIGHT" I am not getting it. Any help?

Thank you!

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Re: Which of the following could be the equation of line m?  [#permalink]

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15 Oct 2016, 04:50
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1
HarveyKlaus wrote:
Which of the following could be the equation of line m?
(A) 6y + 6x = 7
(B) 3y = -4x - 3
(C) 5y + 10 = -4x
(D) y = 2
(E) x = -2

Hey all,

Does anyone know how to solve this problem? The point in the official answer which I am struggling to understand is that I can't determine by looking at the graph if the line has a positive slope or negative. for example, the official answer starts by saying that " Since there are no numbers on the graph, you can’t determine the actual equation of the line, but the line clearly has a negative slope (it points down when reading from left to right) and a positive y-intercept (it crosses the y-axis
above the origin)"

How do we read from "LEFT TO RIGHT" I am not getting it. Any help?

Thank you!

There is one important thing you need to notice here. y intercept of line m is positive

As per the diagram when y is 0, x is +ve. Now lets look at the options

(A) 6y + 6x = 7 --> CORRECT, when y is 0, x is +ve.
(B) 3y = -4x - 3 --> INCORRECT, when y is 0, x is -ve.
(C) 5y + 10 = -4x --> INCORRECT, when y is 0, x is -ve.
(D) y = 2 --> Clear OUT. It must be || to x axis.
(E) x = -2 --> Clear OUT. It must be || to y axis.
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Re: Which of the following could be the equation of line m?  [#permalink]

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15 Oct 2016, 06:01
HarveyKlaus wrote:
Which of the following could be the equation of line m?
(A) 6y + 6x = 7
(B) 3y = -4x - 3
(C) 5y + 10 = -4x
(D) y = 2
(E) x = -2

Hey all,

Does anyone know how to solve this problem? The point in the official answer which I am struggling to understand is that I can't determine by looking at the graph if the line has a positive slope or negative. for example, the official answer starts by saying that " Since there are no numbers on the graph, you can’t determine the actual equation of the line, but the line clearly has a negative slope (it points down when reading from left to right) and a positive y-intercept (it crosses the y-axis
above the origin)"

How do we read from "LEFT TO RIGHT" I am not getting it. Any help?

Thank you!
Is the Answer A? Because the y-intercept will be positive here

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Manager
Joined: 16 Mar 2016
Posts: 129
Location: France
GMAT 1: 660 Q47 V33
GPA: 3.25
Re: Which of the following could be the equation of line m?  [#permalink]

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15 Oct 2016, 06:03
The equation of a line is y = a*x + b

a is the slope, and b is the y-intersect.
After analyzing the graph, you can deduce that, a<0 and b>0.

So, A is the correct answer.
Manager
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Posts: 111
Concentration: Finance, Entrepreneurship
GMAT 1: 650 Q47 V34
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Re: Which of the following could be the equation of line m?  [#permalink]

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29 May 2017, 10:39
For x=0 , y must be positive.

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Re: Which of the following could be the equation of line m?  [#permalink]

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29 May 2017, 22:25
1
The line depicted shows a negative slope first of all. So D and E are eliminated (because D has a slope of 0 and E has a slope of infinity).

Next thing to note is that line depicted cuts both x and y axis at positive sides. Thus both x intercept and y intercept of given line are positive.
B and C both have a negative y-intercept so they are also eliminated.

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GPA: 3.9
Re: Which of the following could be the equation of line m?  [#permalink]

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29 May 2017, 23:37
put some dummy values and check which eq satisfies .
Here point to be noted is when x=0 y=+ , when y=0 x=+

Only A satisfies that
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Which of the following could be the equation of line m?  [#permalink]

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Updated on: 31 Jul 2018, 15:42
OA: A

Slope should be negative and y-intercept should be +ve. A is the only one that provides us with both the conditions. Line m passes through a +ve Y axis in the diagram and will never intersect the Y-axis again.

Originally posted by nrisbood on 31 Jul 2018, 03:28.
Last edited by nrisbood on 31 Jul 2018, 15:42, edited 1 time in total.
Manager
Joined: 18 Jun 2018
Posts: 249
Which of the following could be the equation of line m?  [#permalink]

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31 Jul 2018, 08:48
OA:A

Convert the equation of the line in intercept form
Only option A i.e $$6y + 6x = 7$$ gives positive intercept on x axis and y axis . Graph shows line m having positive x and y intercepts.
$$\frac{y}{\frac{7}{6}}+\frac{x}{\frac{7}{6}}=1$$
Which of the following could be the equation of line m? &nbs [#permalink] 31 Jul 2018, 08:48
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