In the xy-plane is the slope of line k equal to 0?

Definitely. Is this question really from GMAT Prep? If so, can you pleas provide OA given there? Thank you.

In the xy-plane is the slope of line k equal to 0?

The questions basically asks whether line k is a horizontal line (the slope of any horizontal line is always zero. For more check here: math-coordinate-geometry-87652.html).

(1) The x-intercept of k is 0. Now, I'm not a verbal expert, but the x-intercept implies that there is only one point of interception with x-axis, which means that we can eliminate y=0 line. So, we have that line k is not y=0 and has x-intercept, thus it cannot be horizontal --> the slope does not equal to 0. Sufficient.

(2) The y-intercept of k is 0. Clearly insufficient.

Answer: A.

I think GMAT Prep is wrong here.
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Don't you think this question has ambiguity, the official explanation didn't really make sense. Its taking into account multiple intercepts.

Here is a screenshot of the question

The official explanation

From my point of view, OA is wrong.
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Ron Purewal ManhattanGMAT:
GMAC has actually admitted that this problem is flawed. who knows how long it will take until a software release in which it is fixed, but GMAC has admitted that its use of the x-axis as a possibility doesn't square with the use of "THE x-intercept".
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Hi, I emailed the GMAC and checked the answer of this question.
I asked whether the answer could be (A).

Here is the reply of GMAC;

Answer is E.
The answer explanation explains it.
There are an infinite number of equations that have an x-intercept = 0 but do not have a slope equal to 0.

The answer explanation provides just one counter example: the equation y=x.
Other counterexamples include y=2x, y=3x, y=1/2x, y=1/3x, etc.
Because there is at least one example where the answer is yes (the slope = 0) and
at least one example where the answer is no (the slope is not = 0), then statement (1) is not sufficient.

None of the examples from GMAC (y=x, y=2x, y=3x, y=1/2x, y=1/3x) has the slope of 0. They say "an x-intercept = 0", while the question says "the x-intercept of k is 0". In the current form the answer must be A, no matter what the GMAC says.
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