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# For the line with equation y = ax + b,

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For the line with equation y = ax + b, [#permalink]  24 Mar 2017, 14:52
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57% (01:40) correct 42% (01:07) wrong based on 35 sessions
For the line with equation y = ax + b, while ab is not equal to 0, the x-intercept is twice the y intercept.

 Quantity A Quantity B The slope of the line $$\frac{1}{2}$$

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.

Is the answer B?
[Reveal] Spoiler: OA

Last edited by Carcass on 25 Mar 2017, 08:20, edited 1 time in total.
Edited the question
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Re: For the line with equation y = ax + b, [#permalink]  24 Mar 2017, 18:17
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HarveyKlaus wrote:
For the line with equation y = ax + b, while ab is not equal to 0,
the x-intercept is twice the y intercept.

1) The slope of the line
2) 1/2

Is the answer B?

Hi

The Slope Intercept equation is Y=MX+C

Now y=ax+b
y intercept =b(x=0)
x intercept =-b/a(y=0)

As per the original condition => -b/a=2b
Hence a=-1/2

So the equation of the line becomes => y=-x/2 + b
Thus the slope of the line is -1/2

Hence the OA should be B.

**My first attempt at any GRE question**
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Re: For the line with equation y = ax + b, [#permalink]  25 Mar 2017, 08:21
Expert's post
Please post the question in the right format. Thnk you for your collaboration.

Regards
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Re: For the line with equation y = ax + b, [#permalink]  16 Feb 2018, 16:50
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Just an observation, to increase the speed for such questions, we can quickly check since the y intercept is greater than x intercept, the slope has to be negative, hence B is the answer.
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Re: For the line with equation y = ax + b, [#permalink]  25 Jun 2018, 09:20
Ans..B
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Re: For the line with equation y = ax + b, [#permalink]  19 Jan 2019, 06:22
How do we know slope is positive not negative here?
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Re: For the line with equation y = ax + b, [#permalink]  19 Jan 2019, 06:30
Deeps wrote:
Just an observation, to increase the speed for such questions, we can quickly check since the y intercept is greater than x intercept, the slope has to be negative, hence B is the answer.

How? Please explain.
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Re: For the line with equation y = ax + b, [#permalink]  20 Jan 2019, 06:08
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AE wrote:
Deeps wrote:
Just an observation, to increase the speed for such questions, we can quickly check since the y intercept is greater than x intercept, the slope has to be negative, hence B is the answer.

How? Please explain.

You can use this formula to find a slope in Intercept form =$$- \frac{{Y intercept}}{{X Intercept}}$$
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Re: For the line with equation y = ax + b,   [#permalink] 20 Jan 2019, 06:08
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