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saswata4s

Which of the following equations represents the line l shown in the figure?

A) 2x - 4y = 8
B) 2x + 4y = 8
C) 4x + 2y = 8
D) 2x - 4y = -8
E) 4x - 2y = -8


Attachment:
Graph.png

The line passes through (4, 0) and (0, 2). Its equation will be

y - 0 = (2 - 0)/(0 - 4) * (x - 4)
-2y = x - 4
x + 2y = 4
which is the same as 2x + 4y = 8

Answer (B)
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From the diagram, we can see the y intercept > 1 (+ve) & x intercept >3 (+ve)

convert the equation in the options in intercept form i.e.
x/a + y/b = 1, where a is the x intercept & b is the y intercept

As is eveident from problem stmt, a,b are positive hence only 2 options remain

I need to find an option which has a > 3 & b >1

=> x/4 + y/2 =1
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saswata4s

Which of the following equations represents the line l shown in the figure?

A) 2x - 4y = 8
B) 2x + 4y = 8
C) 4x + 2y = 8
D) 2x - 4y = -8
E) 4x - 2y = -8


Attachment:
Graph.png

The line passes through (4, 0) and (0, 2). Its equation will be

y - 0 = (2 - 0)/(0 - 4) * (x - 4)
-2y = x - 4
x + 2y = 4
which is the same as 2x + 4y = 8

Answer (B)

please explain ! thanks
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Hello from the GMAT Club BumpBot!

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