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In the xy-plane, line ? passes through the points (0, −3)

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In the xy-plane, line ? passes through the points (0, −3) [#permalink] New post   10 Nov 2020, 04:11
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In the xy-plane, line \(n\) passes through the points (0, −3) and (−1,0).

Quantity A
Quantity B
The slope of line \(n\)
The slope of a line perpendicular to line \(n\)




A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Source: 320 GRE Math Questions
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B
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sameerkataria2801
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Re: In the xy-plane, line ? passes through the points (0, −3) [#permalink] New post   10 Nov 2020, 08:39
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slope of a line = \(\frac{(y2-y1)}{(x2-x1)}\)
i.e slope = \(\frac{(-3-0)}{(0-(-1))}\) = -3

so m1 = -3

Now for two lines to be perpendicular, the product of there slopes has to be equal to -1
so m1 * m2 = -1
i.e -3 * m2 = -1
so m2 = \(\frac{(1)}{(3)}\)

m2>m1
so answer is B
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Re: In the xy-plane, line ? passes through the points (0, −3) [#permalink] New post   10 Nov 2020, 13:33
We can use the equation (y2-y1)/(x2-x1) to find the slope, which is -3. Intuitively, we know that a line that is perpendicular to this one must have a positive slope; thus Quantity B is greater.
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Re: In the xy-plane, line ? passes through the points (0, −3) [#permalink]
10 Nov 2020, 13:33
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