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If the xcoordinate of point E is 4, what is its ycoordinate?
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Updated on: 06 Sep 2016, 21:53
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78% (01:37) correct 22% (01:54) wrong based on 172 sessions
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If the xcoordinate of point E is 4, what is its ycoordinate? a) 1/2 b) 1 c) 3/2 d) 2 e) 7/2
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Originally posted by PawanRamnani1234 on 06 Sep 2016, 19:51.
Last edited by Bunuel on 06 Sep 2016, 21:53, edited 1 time in total.
Renamed the topic and edited the question.



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Re: If the xcoordinate of point E is 4, what is its ycoordinate?
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06 Sep 2016, 23:17
In the fig, AMX  ABC AM/AB = MX/BC > AM/3 = 4/6 AM = 2 > BM = y = 1 Answer: B
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Re: If the xcoordinate of point E is 4, what is its ycoordinate?
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07 Sep 2016, 02:04
Using the two points already given, you can find the equation of the line which is x + 2y = 6. Substituting, the value of x to be 4, we can get the ycoordinate 1. Hence , B is the solution Sent from my Lenovo A7000a using GMAT Club Forum mobile app
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Re: If the xcoordinate of point E is 4, what is its ycoordinate?
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16 Jun 2017, 01:37
PawanRamnani1234 wrote: Attachment: IMG_20160907_081758.jpg If the xcoordinate of point E is 4, what is its ycoordinate? a) 1/2 b) 1 c) 3/2 d) 2 e) 7/2 Just find the slope of the two points y2y2/x2x1 03 / 60= 3/6 ( it doesn't matter which order if you do 30/06 you would get the same slope) y=1/2x + 3 (we are given the x value so just plug in)



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Re: If the xcoordinate of point E is 4, what is its ycoordinate?
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17 Jun 2017, 00:06
PawanRamnani1234 wrote: Attachment: IMG_20160907_081758.jpg If the xcoordinate of point E is 4, what is its ycoordinate? a) 1/2 b) 1 c) 3/2 d) 2 e) 7/2 Let the equation of line be y = mx +c Slope of line m = (30)/(06) = 1/2 eq: y = (1/2)x + c SInce 0,3 lies on this line. So, 3 = c eq: y = (1/2)x + 3 Now to find the coordinates of point E, x = 4 y = (1/2) * 4 +3 = 1
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Re: If the xcoordinate of point E is 4, what is its ycoordinate?
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28 Jun 2017, 07:27
This can be easily answered without the use of any calculation.The midpoint of the given line is (3,1.5).Since the x coord is 4 any value >= 1.5 is out. Since y cant be negative the only other option is b.



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Re: If the xcoordinate of point E is 4, what is its ycoordinate?
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30 Jun 2017, 14:11
Based on the two points on the line (0,3) and (6,0) we can find the equation of the line. Y intercept \(= 3\)Slope \(= \frac{1}{2}\) Equation: \(y = mx + c\) \(y = \frac{1}{2} * 4 + 3\) \(y = 2 + 3\) \(y = 1\) Answer is B
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Re: If the xcoordinate of point E is 4, what is its ycoordinate?
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01 Jul 2017, 04:42
It doesnt need any calculation for this question. From the diagram we can see that for every unit increase in X, Y decreases by 0.5 units.
When X is 0, Y is 3, When X is 1, Y is 2.5, When X is 2, Y is 2, When X is 3, Y is 1.5, When X is 4, Y is 1, <  which is our answer. When X is 5, Y is 0.5, When X is 6, Y is 0
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Re: If the xcoordinate of point E is 4, what is its ycoordinate?
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01 Jul 2017, 06:29
This question can also be solved using ratio Suppose E divides the given line in X:Y ratio then x coordinate is given by 4=(x*6=y*0)/(x+y) 6x=4x+4y x/y =2 now we have to find y=(2*0+1*3)\(2+1)=1 hence b
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Re: If the xcoordinate of point E is 4, what is its ycoordinate?
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