Proportional
[tex]b=\frac{1}{2}[/tex]Explnation
Step 1
let
[tex]y=mx+b\Rightarrow q=5p+\frac{1}{2}[/tex]both are linear equations
as q depends on p, it is a proportional situation.
Step 2
[tex]\begin{gathered} y=mx+b\Rightarrow q=5p+\frac{1}{2} \\ \text{then} \\ y=q \\ mx=5p \\ b=\frac{1}{2} \end{gathered}[/tex]I hope this helps you