Hi,

My solution looks something like this:

The question is if the x intercept is positive

To determine the x-intercept y = 0. Therefore mx+c = 0. Therefore x = -c/m

Rephrased the question asks if -c/m >0


y = mx+c and since it passes through the point(-4,q), this would translate to

q = -4m +c which gives us that c = q+4m

Therefore -c/m = -(q+4m)/m

Statement 1 : q <0

This means that q is negative and m is also negative (per question). Therefore -c/m = -(q+4m)/m will also be negative. Sufficient.

Statement 2: Slope of line is -4.

Therefore -c/m = -(q-16)/-4 which gives us (q-16)/4. Since this does not give us any information on q, we cannot conclude if the expression will be positive or negative. Hence insufficient.

Hence the answer is A