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Bunuel
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In the xy plane, is the point (4, −2) on the line l? 21 Aug 2016, 04:16
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81% (00:49) correct 19% (00:56) wrong based on 94 sessions

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In the xy plane, is the point (4, −2) on the line l?

(1) Point (1, 1) is on line l.
(2) The equation x = 2 − y describes line l
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B
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In the xy plane, is the point (4, −2) on the line l? 21 Aug 2016, 06:27
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Bunuel
In the xy plane, is the point (4, −2) on the line l?

(1) Point (1, 1) is on line l.
(2) The equation x = 2 − y describes line l
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Stat 1: Equation of a line passing through the two points when we have two points...is y-y1 = y2-y1/x2-x1 ( x - x1) ... when we sub (4,-2) and (1,1) then we get x+y = 2.. Sufficient..

Stat 2: x = 2-y, 4=4..sufficient...

IMO option D is correct answer..

OA please..will correct if I missed anything..
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In the xy plane, is the point (4, −2) on the line l? 21 Aug 2016, 10:40
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Answer should be B
As A gives no information about the equation of the line whereas B is the equation itself

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In the xy plane, is the point (4, −2) on the line l? 21 Aug 2016, 11:03
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msk0657
Bunuel
In the xy plane, is the point (4, −2) on the line l?

(1) Point (1, 1) is on line l.
(2) The equation x = 2 − y describes line l

Stat 1: Equation of a line passing through the two points when we have two points...is y-y1 = y2-y1/x2-x1 ( x - x1) ... when we sub (4,-2) and (1,1) then we get x+y = 2.. Sufficient..

Stat 2: x = 2-y, 4=4..sufficient...

IMO option D is correct answer..

OA please..will correct if I missed anything..
Show more

I am not sure why did you calculate the equation of the line using (4,-2) and (1,1). We are asked to find out if the point (4,-2) lines on the line l and we are not sure what the equation of line is. May be line L has the equation y = x or y = 1. In both these cases, the answer will be no. but if we say equation of the line is y = -x+2 then this point would lie on it. hence , A can NEVER be sufficient.
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In the xy plane, is the point (4, −2) on the line l? 22 Aug 2016, 00:58
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abhimahna
msk0657
Bunuel
In the xy plane, is the point (4, −2) on the line l?

(1) Point (1, 1) is on line l.
(2) The equation x = 2 − y describes line l

Stat 1: Equation of a line passing through the two points when we have two points...is y-y1 = y2-y1/x2-x1 ( x - x1) ... when we sub (4,-2) and (1,1) then we get x+y = 2.. Sufficient..

Stat 2: x = 2-y, 4=4..sufficient...

IMO option D is correct answer..

OA please..will correct if I missed anything..

I am not sure why did you calculate the equation of the line using (4,-2) and (1,1). We are asked to find out if the point (4,-2) lines on the line l and we are not sure what the equation of line is. May be line L has the equation y = x or y = 1. In both these cases, the answer will be no. but if we say equation of the line is y = -x+2 then this point would lie on it. hence , A can NEVER be sufficient.
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Even I thought the same , but later when I used both the points got the equation and then when I substituted the (4,-2) in the equation we get the result as 0..
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In the xy plane, is the point (4, −2) on the line l? 22 Aug 2016, 01:09
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msk0657
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Stat 1: Equation of a line passing through the two points when we have two points...is y-y1 = y2-y1/x2-x1 ( x - x1) ... when we sub (4,-2) and (1,1) then we get x+y = 2.. Sufficient..

Stat 2: x = 2-y, 4=4..sufficient...

IMO option D is correct answer..

OA please..will correct if I missed anything..

I am not sure why did you calculate the equation of the line using (4,-2) and (1,1). We are asked to find out if the point (4,-2) lines on the line l and we are not sure what the equation of line is. May be line L has the equation y = x or y = 1. In both these cases, the answer will be no. but if we say equation of the line is y = -x+2 then this point would lie on it. hence , A can NEVER be sufficient.

Even I thought the same , but later when I used both the points got the equation and then when I substituted the (4,-2) in the equation we get the result as 0..
Show more

It is obvious that if the equation is formed by using 2 points , then that equation WILL ALWAYS satisfy those two points.

I think you are missing something here. Answer MUST be B.
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In the xy plane, is the point (4, −2) on the line l? 22 Aug 2016, 04:40
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The answer must be B.

the reason why A is not a valid statement is we dont know the slope of the line : remember y = mx + c. We can draw a line between (4,-2) and (1,1) or we may not. So this is purely based on the slope of the line.

The reason why A is correct is that we have y = mx + c (and if you substitute (4,-2)), the equation gets satisfied.

Hope it helps.

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