For the first equation y>x+4
When y=0
x=-4
When x=0
y= 4
The coordinates are(0,-4) and (4,0)
For the second equation y<-x+4
When y=0
x=4
When x=0
y=4
The coordinates are(4,0) and (0,4)
From the solution above and the graph plotted we can see that the possible coordinates are (0,4),(-4,0) and (4,0)