Answer
The relation is a function.
For every increase in the x-value, the y-value increases by 3 units.
Equation: y=3x+5
Work Step by Step
The relationship is a function because it passes the vertical line test which states that each x-value has one y-value
Equation:
Slope: $\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}$
$\frac{(8-5)}{(1-0)}$
$\frac{(3)}{(1)}$
slope=3
y-int: y=3x+b (substitute any x & y value from the table)
5=3(0)+b
5=0+b
5=b
Equation: y=3x+5