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Line p lies on a coordinate plane. What is the area ?

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Source: — Data Sufficiency |

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by Anju@Gurome » Thu Mar 21, 2013 9:42 pm
himu wrote:Line p lies on a coordinate plane. What is the area of the region bounded by the x-axis, the y-axis and line p?

(1) The slope of line p is −53.
(2) The y-intercept of line p is 10.
Let us assume the x and y intercepts of p is a and b, respectively.
Hence, are of the triangle = (ab)/2

So, we need to know the x and y intercepts of p.

Statement 1: Keeping the slope constant, we can have different x and y intercepts for p.

Not sufficient

Statement 2: We don't know the x-intercept of p.

Not sufficient.

1 & 2 Together: As we know the slope and y-intercept of p, we can easily determine the x-intercept (using the equation form y = mx + c). Hence, we can determine the area of the triangle.

Sufficient

The correct answer is C.
Anju Agarwal
Quant Expert, Gurome

Backup Methods : General guide on plugging, estimation etc.
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