If k is a line in xy-plane, what is the slope of k? : GMAT Data Sufficiency (DS)
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# If k is a line in xy-plane, what is the slope of k?

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Manager
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If k is a line in xy-plane, what is the slope of k? [#permalink]

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28 Oct 2010, 07:58
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If k is a line in xy-plane, what is the slope of k?

(1) x intercept of k is 2
(2) y intercept of k is 3
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Re: if k is a line in xy-plane [#permalink]

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28 Oct 2010, 08:10
anilnandyala wrote:
if k is a line in xy-plane , what is the slope of k?
1) x intercept of k is 2
2) y intercept of k is 3

The slope is defined as the ratio of the "rise" divided by the "run" between two points on a line, or in other words, the ratio of the altitude change to the horizontal distance between any two points on the line.

There are several ways to find the slope of a line. One of them: given two points $$(x_1,y_1)$$ and $$(x_2,y_2)$$ on a line, the slope $$m$$ of the line is:

$$m=\frac{y_2-y_1}{x_2-x_1}$$.

So knowing two points of a line is sufficient to find the slope.

(1) x intercept of k is 2 --> we have one point (2,0). Not sufficient.
(2) y intercept of k is 3 --> we have another point (0,3), still not sufficient.

(1)+(2) We have two points of line k, so we can find the slope. Sufficient.

For more check Coordinate Geometry chapter of Math Book: math-coordinate-geometry-87652.html

Hope it helps.
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Re: if k is a line in xy-plane [#permalink]

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29 Oct 2010, 14:37
+1 C
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Re: if k is a line in xy-plane , what is the slope of k? 1) x [#permalink]

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01 May 2012, 00:08
Well it is clear now! Thanks again!
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Re: if k is a line in xy-plane , what is the slope of k? 1) x   [#permalink] 01 May 2012, 00:08
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