Answer:
[tex]\begin{gathered} f(p)=\frac{2}{5}x-5\text{ } \\ \text{ This is a linear function.} \end{gathered}[/tex]Step-by-step explanation:
A linear equation is represented by the following equation in slope-intercept form:
[tex]\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{slope } \\ b=\text{ y-intercept} \end{gathered}[/tex]Then, if we have this function:
[tex]f(p)=\frac{2}{5}x-5[/tex]Notice that is the slope-intercept form of a linear equation.