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If the x-coordinate of point E is 4, what is its y-coordinate?

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If the x-coordinate of point E is 4, what is its y-coordinate?  [#permalink]

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New post Updated on: 06 Sep 2016, 21:53
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A
B
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D
E

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If the x-coordinate of point E is 4, what is its y-coordinate?

a) -1/2
b) 1
c) 3/2
d) 2
e) 7/2

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 x-coordinate of point E is 4, what is its y-coordinate?  [#permalink]

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New post 06 Sep 2016, 23:17
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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 x-coordinate of point E is 4, what is its y-coordinate?  [#permalink]

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New post 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 y-coordinate 1. Hence , B is the solution

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Re: If the x-coordinate of point E is 4, what is its y-coordinate?  [#permalink]

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New post 16 Jun 2017, 01:37
PawanRamnani1234 wrote:
Attachment:
IMG_20160907_081758.jpg
If the x-coordinate of point E is 4, what is its y-coordinate?

a) -1/2
b) 1
c) 3/2
d) 2
e) 7/2


Just find the slope of the two points

y2-y2/x2-x1
0-3 / 6-0= -3/6 ( it doesn't matter which order- if you do 3-0/0-6 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 x-coordinate of point E is 4, what is its y-coordinate?  [#permalink]

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New post 17 Jun 2017, 00:06
1
1
PawanRamnani1234 wrote:
Attachment:
IMG_20160907_081758.jpg
If the x-coordinate of point E is 4, what is its y-coordinate?

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 = (3-0)/(0-6) = -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

Answer B

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Re: If the x-coordinate of point E is 4, what is its y-coordinate?  [#permalink]

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New post 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 co-ord 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 x-coordinate of point E is 4, what is its y-coordinate?  [#permalink]

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New post 30 Jun 2017, 14:11
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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 x-coordinate of point E is 4, what is its y-coordinate?  [#permalink]

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New post 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 x-coordinate of point E is 4, what is its y-coordinate?  [#permalink]

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New post 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 x-coordinate of point E is 4, what is its y-coordinate?   [#permalink] 01 Jul 2017, 06:29
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