Nice work, Logitech - A it is

Here's my solution, which I prepared earlier:
One strategy is to rewrite both equations in slope y-intercept form to get a better idea of how the variables k and j affect the lines.
We get line A: y = -3/2 x + k/2 (here we see that the slope of line A is -3/2, and k affects the line’s y-intercept)
We also get line B: y = jx + 7 (here we see that j affects the slope of the line, and the y-intercept is 7

(1) This tells us that the y-intercept of line A is 7. Hey, the y-intercept of line B is also 7, so the two lines must intersect at (0,7) (SUFFICIENT)
(2) This information will help us to determine the value of j and fully define the equation of line B. However, this information tells us nothing about line A. All we know about line A is that it has slope of -3/2. Since we don’t know the y-intercept of line A, we have no idea where line A is located on the coordinate plane. If we can’t fix line A’s position in the coordinate plane, we can’t determine its intersection with line B (INSUFFICIENT)

The correct answer is A