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Is line ℓ parallel to the y-axis? (1) The equation of line ℓ is x = 4

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Bunuel
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Is line ℓ parallel to the y-axis? (1) The equation of line ℓ is x = 4 [#permalink] New post   23 May 2020, 07:37
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Is line ℓ parallel to the y-axis?

(1) The equation of line ℓ is x = 4.
(2) The points (4,2) and (4,–5) are on line ℓ.



DS21220
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Re: Is line ℓ parallel to the y-axis? (1) The equation of line ℓ is x = 4 [#permalink] New post   23 May 2020, 07:42
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Bunuel wrote:
Is line ℓ parallel to the y-axis?
(1) The equation of line ℓ is x = 4.
(2) The points (4,2) and (4,–5) are on line ℓ.



DS21220


Asked: Is line ℓ parallel to the y-axis?

(1) The equation of line ℓ is x = 4.
Equation of y -axis : x=0
Line l : x=4 is parallel to line x=0 (y-axis)
SUFFICIENT

(2) The points (4,2) and (4,–5) are on line ℓ.
Equation of line passing through points (4,2) and (4,–5) : x=4
Equation of y -axis : x=0
Line l : x=4 is parallel to line x=0 (y-axis)
SUFFICIENT

IMO D
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Re: Is line ℓ parallel to the y-axis? (1) The equation of line ℓ is x = 4 [#permalink] New post   23 May 2020, 22:58
Bunuel wrote:
Is line ℓ parallel to the y-axis?

(1) The equation of line ℓ is x = 4.
(2) The points (4,2) and (4,–5) are on line ℓ.

DS21220



Statement 1: The equation of line ℓ is x = 4.
=> y = 0.
=> equation of the line: x = 4.
=> line l is || to the y axis.
Thus Sufficient.

Statement 2: The points (4,2) and (4,–5) are on line ℓ.
=> Line is passing through x axis for different values of y.
If we plot these 2 points on the graph, we get a line || to y axis.

So Sufficient.


Answer D.
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Re: Is line ℓ parallel to the y-axis? (1) The equation of line ℓ is x = 4 [#permalink] New post   25 May 2020, 14:23
We need to find if l || y axis. We nee dot find definite YES or NO

for any line l || y-axis ==> it is perpendicular to x-axis or x-coordinate will be same for all values of y.

Lets analyze the statements:

A: ℓ is x = 4. i.e x-coordinate will be 4 for all values of y. Yes SUFFICIENT
B: (4,2) and (4,–5) are on line ℓ. ==> x-coordinate will be 4 for all values of y. Yes SUFFICIENT

Both statements individually gave YES, D
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Re: Is line ℓ parallel to the y-axis? (1) The equation of line ℓ is x = 4 [#permalink]
25 May 2020, 14:23
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Bunuel
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