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In the xy-plane, line ? passes through the points (0, −3)
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10 Nov 2020, 04:11
10 Nov 2020, 04:11
Expert Reply
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Question Stats:
73% (00:48) correct
26% (00:35) wrong based on 23 sessions
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In the xy-plane, line \(n\) passes through the points (0, −3) and (−1,0).
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
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
Intern
Joined: 14 Jul 2020
Posts: 3
Given Kudos: 0
GRE 1: Q170 V158
Re: In the xy-plane, line ? passes through the points (0, −3)
[#permalink]
10 Nov 2020, 08:39
10 Nov 2020, 08:39
1
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
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
Re: In the xy-plane, line ? passes through the points (0, −3)
[#permalink]
10 Nov 2020, 13:33
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.
