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# In the xy-plane, what is the x-intercept of a certain line?

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Re: In the xy-plane, what is the x-intercept of a certain line? [#permalink]
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neeraj609 wrote:
Engr2012 wrote:
shakticnb wrote:
In the xy-plane, what is the x-intercept of a certain line?
(1) The line passes through the point (0,2).
(2) The y-intercept of the line is 2.

1. Search for a question before you post.

As for the question,

lets say the equation of the line is : y =mx+c, the x intercept will be = (y-c)/m

Per statement 1, point passing through (0,2) does not provide us any information apart from the fact that the y-intercept is 2. Not sufficient. We can have the following equations of 2 lines that have 2 different x-intercepts.

y=4x+2, x-intercept = -0.5

y=-6x+2, x-intercept = 0.33

Per statement 2, y-intercept is 2. This is the same information as statement 1 and hence is again not sufficient.

Combining, the 2 statements still provide us the same information and hence E is the correct answer.

Hi there,

Please tell me if this is right way of solving the problem: The x intercept is when Y=0 so if the equation is y=mx+c then in order to answer the question we need to have mx+c = 0 ==> x = -m/c

The first statement gives us this information. If we replace the values with (0,2) we get ==> c=2 but we still dont have value of m
The second statement gives the same information as above.

So E

Yes this is another way or phrasing what I wrote above and is hence correct. If you look carefully, I am also using 2 different values of the slope 'm' (=4 and 6) to write what you have mentioned as well.

Hope this helps.
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Re: In the xy-plane, what is the x-intercept of a certain line? [#permalink]
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Hi All,

There are a couple of note-worthy points to this question:

1) It's written in a style that doesn't quite match up with proper "GMAT style." Based on the wording of the prompt, the line COULD conceivably be horizontal (meaning it has a slope of 0) and has NO X-intercept at all. GMAT question writers are a bit more careful with how they word their prompts.

2) The two Facts offer the exact same information (just worded differently). This type of situation is rare on the Official GMAT, but any time it occurs, the correct answer will either be D or E.

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Re: In the xy-plane, what is the x-intercept of a certain line? [#permalink]
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Re: In the xy-plane, what is the x-intercept of a certain line? [#permalink]
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