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In the coordinate plane, lines j and k are parallel. The x-
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16 Dec 2019, 10:03
16 Dec 2019, 10:03
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In the coordinate plane, lines j and k are parallel. The x-intercept of line j is greater than that of line k and the product of their slopes is positive.
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.
Quantity A |
Quantity B |
The y-intercept of line \(j\) |
The y-intercept of line \(k\) |
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.
Re: In the coordinate plane, lines j and k are parallel. The x-
[#permalink]
16 Dec 2019, 10:12
16 Dec 2019, 10:12
OFFICIAL EXPLANATION:
Parallel lines have the same slope. Since the product of the two slopes is positive, either both slopes are positive or both slopes are negative. Here are two examples in which line j has a larger x-intercept, as specified by the problem:
Screenshot from 2019-12-17 00-12-23.png [ 114.81 KiB | Viewed 9503 times ]
If the slopes are positive, k will have the greater y-intercept, but if the slopes are negative, l will have the greater y-intercept.
Parallel lines have the same slope. Since the product of the two slopes is positive, either both slopes are positive or both slopes are negative. Here are two examples in which line j has a larger x-intercept, as specified by the problem:
Attachment:
Screenshot from 2019-12-17 00-12-23.png [ 114.81 KiB | Viewed 9503 times ]
If the slopes are positive, k will have the greater y-intercept, but if the slopes are negative, l will have the greater y-intercept.
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Re: In the coordinate plane, lines j and k are parallel. The x-
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11 May 2020, 14:37
11 May 2020, 14:37
Is there another way of looking at this? Equations? Y=mx+b
