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# In the xy-coordinate plane, which of the following points must lie on

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Manager
Joined: 20 Jul 2018
Posts: 89
GPA: 2.87
Re: In the xy-coordinate plane, which of the following points must lie on  [#permalink]

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20 Aug 2018, 07:03
let suppose k=1,
so $$x+3y = 6$$
now plug in each option in this equation to verify.
only option B (0,2) satisfies this equation.
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Hasnain Afzal

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Joined: 04 Sep 2018
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Re: In the xy-coordinate plane, which of the following points must lie on  [#permalink]

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18 Oct 2018, 04:16
Bunuel 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?

(A) (1,1)
(B) (0,2)
(C) (2,0)
(D) (3,6)
(E) (6,3)

Kudos for a correct solution.

Since k is multiplied by x, you know that it will only affect the "m" value in y=mx+c. The only value that is indifferent to the value of k is the y-intercept since x=0 and hence regardless of what k is it will multiply by 0. Hence B (0,2)
Re: In the xy-coordinate plane, which of the following points must lie on &nbs [#permalink] 18 Oct 2018, 04:16

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