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## In the xy coordinate plane, which of the following

tagged by: Brent@GMATPrepNow

This topic has 2 expert replies and 1 member reply
canbtg Senior | Next Rank: 100 Posts
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Posted:
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#### In the xy coordinate plane, which of the following

Wed Jul 01, 2015 9:54 am
In the xy coordinate plane, which of the following points must lie on the line kx+3y=6 for every possible value of K ?

A)(1,1)

B)(0,2)

C)(2,0)

D)(3,6)

E) (6,3)

OA

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nikhilgmat31 Legendary Member
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Fri Jul 03, 2015 12:28 am
we need not to find value of K.

### GMAT/MBA Expert

Ian Stewart GMAT Instructor
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Wed Jul 01, 2015 2:33 pm
canbtg wrote:
In the xy coordinate plane, which of the following points must lie on the line kx+3y=6 for every possible value of K ?
I'd do exactly what Brent did, but maybe it's useful to see a bit more of the theory here. If we write the equation of any line in the form y = mx + b, then m is the slope of the line, and b is the y-intercept (where the line meets the y-axis). So if we rewrite the equation above in that form, we find:

y = (-k/3)x + 2

So we know exactly one point on the line - the y-intercept is 2, so (0, 2) is on the line for sure. But we know nothing about the slope without some info about k, and if we know nothing about the slope, the line could go anywhere as you move away from the y-axis. So we don't know any other points on the line besides the y-intercept.

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nikhilgmat31 Legendary Member
Joined
12 May 2015
Posted:
518 messages
10
Test Date:
3 Oct
Target GMAT Score:
750
Fri Jul 03, 2015 12:28 am
we need not to find value of K.

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