Step 1 :Choose two different x values, let's say x1 = 1 and x2 = 2
Step 2 :Calculate the corresponding y values using the equation y = 3x + 1
Step 3 :\(y1 = 3(1) + 1 = 4\)
Step 4 :\(y2 = 3(2) + 1 = 7\)
Step 5 :\(\boxed{\text{The two other points that lie on the line y = 3x + 1 are (1, 4) and (2, 7)}}\)