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.
