Answer
$ y=\frac{3}{4}x-2$
Work Step by Step
Let $(x_{1},y_{1})=(4,1)$ and $(x_{2},y_{2})=(8,4)$
The slope of the line is
$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{4-1}{8-4}=\frac{3}{4}$
We can write the equation of a line using the value of slope $m=\frac{3}{4}$ and the point $(4,1)$.
$y-y_{1}=m(x-x_{1})$
$\implies y-1=\frac{3}{4}(x-4)$
$\implies y=\frac{3}{4}x-3+1$
$\implies y=\frac{3}{4}x-2$
