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# The slope of line segment AB

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The slope of line segment AB [#permalink]  18 Jul 2018, 09:35
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71% (00:31) correct 28% (00:28) wrong based on 57 sessions
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triangle.jpg [ 19.91 KiB | Viewed 1859 times ]

 Quantity A Quantity B The slope of line segment AB The slope of line segment AC

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.

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Re: The slope of line segment AB [#permalink]  19 Jul 2018, 06:33
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From the figure we can see that $$AB$$ and $$AC$$ have the same common point $$A$$

A nice point to compare the slope would be the x-axis.
At this point change is $$Y$$ is same for both the line from point $$A$$
however, change in $$x$$ for $$AB$$ is smaller than $$AC$$ therefore slope of qty A is greater than qty B
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Re: The slope of line segment AB [#permalink]  10 Aug 2018, 17:16
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Quantity B is greater.

The longer the side opposite an angle, the larger the angle itself must be. Angle C open to the longest side, so is greater than angle A.
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Re: The slope of line segment AB [#permalink]  28 Aug 2018, 22:15
OskrWd wrote:
Quantity B is greater.

The longer the side opposite an angle, the larger the angle itself must be. Angle C open to the longest side, so is greater than angle A.

How did you define in the above diagram longer side. As per ETS we should not assume any angle or length unless specified.

In fact, to solve this question one must bear in mind that slope is read from left to right. The steeper it is the bigger its slope, because in the above diagram,
the slope AB is steeper than slope AC beacause when u read it from left to right AC is not steeper than AB and hence AB is bigger than AC.Hence option A is correct.

Please rectify if I am wrong.
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Re: The slope of line segment AB [#permalink]  29 Aug 2018, 03:54
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IshanGre wrote:
How did you define in the above diagram longer side. As per ETS we should not assume any angle or length unless specified.

In fact, to solve this question one must bear in mind that slope is read from left to right. The steeper it is the bigger its slope, because in the above diagram,
the slope AB is steeper than slope AC beacause when u read it from left to right AC is not steeper than AB and hence AB is bigger than AC.Hence option A is correct.

Please rectify if I am wrong.

No you are correct! We are not suppose to assume that diagram is to scale. However the basic shapes in the diagram are valid such as point B is above line AC (away from x axis).

You could argue that slope of line AB is greater because point B lies above line AC and thus a higher slope.

Not that in both the cases the lines AB and AC made acute angles with the x axis.
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Re: The slope of line segment AB   [#permalink] 29 Aug 2018, 03:54
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# The slope of line segment AB

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