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# M28-17

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Math Expert
Joined: 02 Sep 2009
Posts: 52386

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16 Sep 2014, 00:29
00:00

Difficulty:

35% (medium)

Question Stats:

67% (01:02) correct 33% (01:01) wrong based on 163 sessions

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The distance from the Y-axis to point K is $$\frac{1}{3}$$ of the distance from the X-axis to point K. If the coordinates of K are (-3, y), what is the distance between point K and X-axis?

A. $$\frac{1}{2}$$
B. $$1$$
C. $$3$$
D. $$4.5$$
E. $$9$$

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Math Expert
Joined: 02 Sep 2009
Posts: 52386

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16 Sep 2014, 00:29
Official Solution:

The distance from the Y-axis to point K is $$\frac{1}{3}$$ of the distance from the X-axis to point K. If the coordinates of K are (-3, y), what is the distance between point K and X-axis?

A. $$\frac{1}{2}$$
B. $$1$$
C. $$3$$
D. $$4.5$$
E. $$9$$

Point K has the coordinates (-3, y) means that it's somewhere on the line $$x=-3$$. Hence the distance from this point to the Y-axis is 3 units.

Since the distance from the Y-axis to point K is $$\frac{1}{3}$$ of the distance from the X-axis to point K, then the distance from K to the X-axis is 9 units.

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Joined: 11 Apr 2016
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31 Mar 2017, 22:25
brunel : By inferring the point is on the line x = -3, how were you able to determine the distance from y axis is 3 units ?
Math Expert
Joined: 02 Sep 2009
Posts: 52386

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01 Apr 2017, 05:14
varunjoshi31 wrote:
brunel : By inferring the point is on the line x = -3, how were you able to determine the distance from y axis is 3 units ?

Check the image below:
Attachment:
Untitled.png

x = -3 is a line parallel to y-axis. Any point on x = -3 is 3 units apart from y -axis.

Hope it's clear.
>> !!!

You do not have the required permissions to view the files attached to this post.

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Joined: 24 Aug 2016
Posts: 645
Concentration: Entrepreneurship, Operations
GMAT 1: 630 Q48 V28
GMAT 2: 540 Q49 V16

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31 Oct 2018, 07:15
Bunuel wrote:
varunjoshi31 wrote:
brunel : By inferring the point is on the line x = -3, how were you able to determine the distance from y axis is 3 units ?

Check the image below:
Attachment:
Untitled.png

x = -3 is a line parallel to y-axis. Any point on x = -3 is 3 units apart from y -axis.

Hope it's clear.

Hi Bunuel.... although its not there in the answer...... can it be -9 ?
_________________

Please let me know if I am going in wrong direction.
Thanks in appreciation.

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Joined: 21 Oct 2018
Posts: 17

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31 Oct 2018, 07:41
distance from the Y-axis to point K is 1313 of the distance from the X-axis to point K, then the distance from K to the X-axis is 9 units.How we get 9 units from there?
Intern
Joined: 02 Feb 2018
Posts: 36

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10 Nov 2018, 03:00
u1983 wrote:
Bunuel wrote:
varunjoshi31 wrote:
brunel : By inferring the point is on the line x = -3, how were you able to determine the distance from y axis is 3 units ?

Check the image below:
Attachment:
Untitled.png

x = -3 is a line parallel to y-axis. Any point on x = -3 is 3 units apart from y -axis.

Hope it's clear.

Hi Bunuel.... although its not there in the answer...... can it be -9 ?

Distance is always absolute value so cant be negative
Intern
Joined: 10 Aug 2018
Posts: 8
Location: India
Schools: Erasmus '20, NTU '20
GMAT 1: 570 Q43 V25
WE: Real Estate (Real Estate)

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03 Dec 2018, 06:18
Brilliant solution. I was calculating distance between 2 points, and solving for y.
Re: M28-17 &nbs [#permalink] 03 Dec 2018, 06:18
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# M28-17

Moderators: chetan2u, Bunuel

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