uzzy12 wrote:

In the xy-plane, what is the y-intercept of line l?

(1) The slope of line l is 3 itmes the y-intercept

(2) The x-intercept of line l is -1/3

My attempt:

Line equation - y = mx +c

We need the value of c which the y-intercept of the line.

Statement 1: Slope is 3 times the y intercept.

Hence

dy/

dx = 3c. or m = 3c or c = m/3. Without m we cannot identify the value of c. Insufficient.

Statement 2: X intercept of the line is -1/3.

X intercept => 0 = m*x+c

0 = m (-1/3) + c

c = (1/3) * m. Without m, we cannot determine c. Insufficient.

Combining both (1) and (2), we know m = 3c and c = (1/3)m and both are the same.

No way to identify c. Hence insufficient. Answer E.

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