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In the xy-plane, does the line L intersect the graph of y = x^2

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Re: In the xy-plane, does the line L intersect the graph of y = x^2

by swerve » Tue Jun 01, 2021 10:13 am

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BTGmoderatorDC wrote: ↑
Mon May 31, 2021 4:12 pm
 In the xy-plane, does the line L intersect the graph of y = x^2

(1) Line L passes through (4, -8)
(2) Line L passes through (-4, 16)


OA B

Source: GMAT Prep
1) This is clearly insufficient. It is possible that the line might intersect the curve at \((4,16)\) ( if it has slope 0, like \(x=4\)), or might not intersect at all, like line \(y=-8.\)

2) This is sufficient as the line satisfies the equation of the curve \(y=x^2, 16=(-4)^2,\) therefore the line and curve intersect at this point.

Hence, B
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