The only points with integer coordinates that will
fit on your graph are these 5
x | y = 3x+1
----------------------------
-1 | y = 3(-1)+1 = -3+1 = -2
0 | y = 3(0)+1 = 0+1 = 1
1 | y = 3(1)+1 = 3+1 = 4
2 | y = 3(2)+1 = 6+1 = 7
3 | y = 3(3)+1 = 9+1 = 10
So we plot (-1,-2), (0,1), (1,4), (2,7), (3,10)
and draw a line through them.
Edwin