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In the xy –plane, is point (2, – 3) on line ℓ ?

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In the xy –plane, is point (2, – 3) on line ℓ ?  [#permalink]

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New post 31 Oct 2018, 10:20
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E

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  15% (low)

Question Stats:

81% (01:17) correct 19% (01:01) wrong based on 53 sessions

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Re: In the xy –plane, is point (2, – 3) on line ℓ ?  [#permalink]

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New post 31 Oct 2018, 10:59
Stmt 1: Let line l be y = mx + c, we know one point (-2,3), but will another point to determine line L or say if (2,-3) is on this line. Hence insufficient.
STmt 2: No information about (2,-3) related to line L, hence insufficient,

Combined: No new information about (2,-3) in relation to line L, hence insufficient.

Option E
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Re: In the xy –plane, is point (2, – 3) on line ℓ ?  [#permalink]

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New post 31 Mar 2019, 11:15
carcass wrote:
In the xy –plane, is point (2, – 3) on line ℓ ?

(1) Point (– 2, 3) is on line ℓ.
(2) ℓ is not perpendicular to the x – axis.


Quickly draw an xy plane. Make a point at (2,-3). This is in Quadrant IV.

Statement (1) (-2,3) is on line ℓ.

Not sufficient. Go ahead and mark this on our xy axis.

Statement (2) ℓ is not perpendicular to the x – axis.

Not sufficient. This only tells us that ℓ is not a vertical line. A line that is perpendicular to the X axis is a perpendicular line. Or a line with an undefined scope.

Statement (1) + (2)

(-2, 3) is on the line. The line is not vertical. Not Sufficient.

If line ℓ had a point at the origin, the answer would be YES and sufficient. If line ℓ had a point at (0, 3), the answer would be NO and sufficient.

We only have one point and know that the slope is not undefined. That is not enough information to determine the answer.
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Re: In the xy –plane, is point (2, – 3) on line ℓ ?   [#permalink] 31 Mar 2019, 11:15
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