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In the coordinate system, does the line l pass through the point (1, 2

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Bunuel
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In the coordinate system, does the line l pass through the point (1, 2 [#permalink] New post   19 Jul 2019, 00:48
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In the coordinate system, does the line l pass through the point (1, 2)?

(1) The slope of the line is 1/2, and the line passes through the origin (0, 0).
(2) The equation of the line is y = x/2
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Re: In the coordinate system, does the line l pass through the point (1, 2 [#permalink] New post   20 Jul 2019, 16:50
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Hi gmatbusters

Could you please help here?
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Re: In the coordinate system, does the line l pass through the point (1, 2 [#permalink] New post   20 Jul 2019, 21:27
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St1: Since point and slope of the line are given : (0,1) and slope = 1/2, we can uniquely define the line and hence can answer all the points that are on line.
Sufficient.
(there is no need to check anything, as it is a DS question. For checking, equation of the line is to be found out, and the point (1,2) is substituted to find whether it lies on the line or not)

St2: Since the equation of the line is given, the point (1,2) can be substituted to find whether it lies on the line or not.
Sufficient.

Answer D

Bunuel wrote:
In the coordinate system, does the line l pass through the point (1, 2)?

(1) The slope of the line is 1/2, and the line passes through the origin (0, 0).
(2) The equation of the line is y = x/2
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Re: In the coordinate system, does the line l pass through the point (1, 2 [#permalink] New post   20 Jul 2019, 21:44
(1) The slope of the line is 1/2, and the line passes through the origin (0, 0)

This tells us that the line passes through the origin and its x coordinates increase by 2 units for every 1 unit increase in y coordinate. So the line passes through (0+2,0+1) or (2,1) and therefore does not pass through (1,2)

1 is sufficient

(2) The equation of the line is y = x/2
If we substitute (1,2) in the equation, we see that it does not hold true (we get 2=1/2) so the line does not pass through (1,2)

2 is sufficient

Answer is (D)

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Re: In the coordinate system, does the line l pass through the point (1, 2 [#permalink]
20 Jul 2019, 21:44
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Bunuel
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