Okay. The above is what is referred to as a "lane end" situation. Thus you are moving from one lane to another, and MUST give way to any and all traffic in the lane that you are moving into.
If the white lines just stoped at the end of the long white lines, ie, no short white lines in the above picture, then a "merge will occur. This operates on the V8 supercar rule. If you are in front, you have right of way.
The big question is: What were the road markings at this point?