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In the figure shown, if x = 4, then y =

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Bunuel
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In the figure shown, if x = 4, then y = [#permalink] New post  09 Sep 2021, 01:26
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In the figure shown, if x = 4, then y =

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5.1

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Re: In the figure shown, if x = 4, then y = [#permalink] New post  09 Sep 2021, 01:35
Bunuel wrote:

In the figure shown, if x = 4, then y =

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5.1

Show Spoiler
Attachment:
7.jpg


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
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Re: In the figure shown, if x = 4, then y = [#permalink] New post  07 Oct 2022, 10:19
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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!
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Re: In the figure shown, if x = 4, then y = [#permalink] New post  25 Nov 2022, 10:54
An easier method than finding out the slope and substituing would be to just notice that for every 2 points on the x axis the line rises 1 point on the y axis . And since x is given to be 4 y has to be 2 .
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In the figure shown, if x = 4, then y = [#permalink] New post  20 Dec 2022, 05:51
If you don't recall the formula you may draw the graphic on a piece of paper and with little precision you might also get
y =2.
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In the figure shown, if x = 4, then y = [#permalink]
20 Dec 2022, 05:51
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