Looks like a pretty regular system, no parallel lines. In fact the second equation is a vertical line as written; not sure if that's a typo. Either way,
Answer: EXACTLY ONE SOLUTION
The answer to the first part is D
Answer: Slope is undefined. x=0
slope calculation: -3-4/0-0 = -7/0 and anything divided by 0 is undefined
the x value in the coordinates is 0 so it’s x=0 line.
vertical lines always have undefined slopes