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In the xy-plane, what is the slope of line l that passes

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by BTGmoderatorDC » Mon Oct 21, 2019 4:48 pm
In the xy-plane, what is the slope of line l that passes through the point (1,1)?

(1) The x-intercept of line l is 2.

(2) The y-intercept of line l is 2.

OA D

Source: Princeton Review
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Mon Oct 21, 2019 8:26 pm
BTGmoderatorDC wrote:In the xy-plane, what is the slope of line l that passes through the point (1,1)?

(1) The x-intercept of line l is 2.

(2) The y-intercept of line l is 2.

OA D

Source: Princeton Review
To get the slope of a line, we must know the coordinates of two points in the XY-plane. One of the point is (1, 1). If we get the coordinate of the other point, we get the unique value of the slope.

Let's take each statement one by one.

(1) The x-intercept of line l is 2.

=> Line l passes through a point (2, 0); thus, we got the coordinate of another point. Sufficient.

(2) The y-intercept of line l is 2.

=> Line l passes through a point (0, 2); thus, we got the coordinate of another point. Sufficient.

The correct answer: D

Hope this helps!

-Jay
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