## Intermediate Algebra (6th Edition)

$f(x)=2x-6$
We are given the points $(3,0)$ and $(7,8)$. We can use the slope formula to find the slope of a line going through these points. $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{8-0}{7-3}=\frac{8}{4}=2$ Next, we can use this slope and one of the given points to write the line in the point slope form $y-y_{1}=m(x-x_{1})$. $y=f(x)=2(x-3)=2x-6$