The table is
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
x \ | \
y \ |
\
-2 \ | \
5 \ |
\
0 \ | \
8 \ |
\
2 \ | \
10 \ |
\
4 \ | \
15 \ |
From the table x increases by 2, y increases by 3.
\So, this is a linear function.
It represents a linear function.