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09 Sep 2021, 02:26
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B
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Difficulty:
5%
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Question Stats:
87% (00:58) correct
13%
(01:33)
wrong
based on 192
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Not Attempted Yet
In the figure shown, if x = 4, then y =
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5.1
Attachment:
7.jpg [ 4.62 KiB | Viewed 4902 times ]
DashingNightmare2
Current Student
Joined: 30 May 2021
Last visit: 19 Jun 2022
Posts: 101
Given Kudos: 77
Location: India
Concentration: Marketing, Technology
Schools: ISB '23 (A)
GMAT 1: 750 Q50 V41
GPA: 2.96
09 Sep 2021, 02:35
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Bunuel
Equation of line y=mx+c
Here line passes through (0,0) =>0 = 0 +c => c=0
Line becomes y=mx
Now it passes through (2,1) => 1=2m => m=\(\frac{1}{2}\\
\)
New line (x,y) x= 4
y= mx =2
Hence B
07 Oct 2022, 11:19
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The given line passes through Origin => Equation of the line will be y = mx (where m is the slope)
Given that (2,1) lies on the line => It will satisfy the equation of the line.
=> We can substitute x = 2 and y = 1 in y = mx
=> 1 = m*2
=> m = \(\frac{1}{2}\)
=> Equation of the line is y = \(\frac{1}{2}\)x
(x,y) also lies on the line => It will satisfy the equation of the line. And we know that x = 4
=> y = \(\frac{1}{2}\)x = y = \(\frac{1}{2}\) * 4 = 2
So, Answer will be B
Hope it helps!
Given that (2,1) lies on the line => It will satisfy the equation of the line.
=> We can substitute x = 2 and y = 1 in y = mx
=> 1 = m*2
=> m = \(\frac{1}{2}\)
=> Equation of the line is y = \(\frac{1}{2}\)x
(x,y) also lies on the line => It will satisfy the equation of the line. And we know that x = 4
=> y = \(\frac{1}{2}\)x = y = \(\frac{1}{2}\) * 4 = 2
So, Answer will be B
Hope it helps!
