A parallel line has the same slope as the original line. If y = mx + b, then a parallel line will has have slope m. b will change depending on what point the line passes through, in this case (1.5). We can find "b" by entering this point in the new equation and solving for b.
y = x + 5
A parallel line would be yp = x + b
Enter the point (1,5) to get 5 = 1 + b, or b = 4.
Therefore, yp = x + 4
I hope this helps,