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

Question

Bildschirmfoto 2016-10-15 um 14.31.28.png 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!

abhimahna · Accepted Answer

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.

ProfX · Answer

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

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Alex75PAris · Answer

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.

guialain · Answer

For x=0 , y must be positive.
Only Answer choice A complies.

Answer is A.

amanvermagmat · Answer

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.

Hence  A answer

mbaaspirant80 · Answer

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

nrisbood · Answer

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.

Bismarck · Answer

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

BrentGMATPrepNow · Answer

First off, we can eliminate answer choice D, since y = 2 is the equation of a HORIZONTAL line, and the given line is NOT horizontal. 
Next, we can eliminate answer choice E, since x = -2 is the equation of a VERTICAL line, and the given line is NOT vertical.

Now notice that line m has a POSITIVE y-intercept. 
In other words,  when x = 0, y is some positive number .

Take the remaining answer choices and replace x with  0 , and then find the corresponding y-value.

(A) 6y + 6( 0 ) = 7
Simplify: 6y = 7
Solve: y = 7/6. 
Since y is positive, we can keep A

(B) 3y = -4( 0 ) - 3
Simplify: 3y = -3
Solve: y = -1 
Since y is negative, we'll ELIMINATE B

(C) 5y + 10 = -4( 0 )
Simplify: 5y + 10 = 0
Solve: y = -2 
Since y is negative, we'll ELIMINATE D

By the process of elimination, the correct answer is A

Cheers,
Brent

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

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

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