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Line k is in the rectangular coordinate system. If line k is defined

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Line k is in the rectangular coordinate system. If line k is defined  [#permalink]

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New post 24 Aug 2018, 00:21
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Difficulty:

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Line k is in the rectangular coordinate system. If line k is defined by the equation 3y = 2x + 6, and line k intersects the x-axis at point (a,b), then what is the value of a?

A. -3
B. -2
C. 0
D. 2
E. 3
Spoiler: OA

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Re: Line k is in the rectangular coordinate system. If line k is defined  [#permalink]

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New post 24 Aug 2018, 00:28
Bunuel wrote:
Line k is in the rectangular coordinate system. If line k is defined by the equation 3y = 2x + 6, and line k intersects the x-axis at point (a,b), then what is the value of a?

A. -3
B. -2
C. 0
D. 2
E. 3


Intersection point of line k with x-axis at point (a,b). At x-axis y=0
So (a,b)=(a,0)

Given, 3y=2x+6
Or, 0=2a+6
Or, a=-3

Ans. (A)
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Re: Line k is in the rectangular coordinate system. If line k is defined  [#permalink]

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New post 24 Aug 2018, 01:20
Bunuel wrote:
Line k is in the rectangular coordinate system. If line k is defined by the equation 3y = 2x + 6, and line k intersects the x-axis at point (a,b), then what is the value of a?

A. -3
B. -2
C. 0
D. 2
E. 3

At x axis
Co-ordinate are (x, 0)
Therefore,

2x=-6
x=-3

A

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Re: Line k is in the rectangular coordinate system. If line k is defined   [#permalink] 24 Aug 2018, 01:20
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