Please see the image for the Q and options...
I think there must be a typo in line 2 definition. Line should be represented as equation. y2-4x+6 shoul be equal to something, in the way it's represented it doesn't make any sense for me. Let's find out which kind of typo there is:
1. y1=5x-3, y2=
4x+6 (meaning that - sign should be =):
5x-3=4x+6 --> x=9, y=42 --> intersect at point (9,42), no such answer choice.
2. y1=5x-3, y2-4x+6=0 (meaning that LHS equals to 0):
5x-3=4x-6 --> x=-3, y=-18 --> intersect at point (-3,-18), no such answer choice.
3. y1=5x-3, y2=-4x+6 (meaning that = sign is just missing)
5x-3=-4x+6 --> x=1, y=2 --> intersect at point (1,2), answer choice D.
So, I suppose the third option detects the typo. But it would be easier if we knew the OA to say with certainty.
equal sign was missing... thnx for pointing that out. You got this nailed.