Answer
$y=2x-1$
Work Step by Step
Use the slope formula $m=\frac{y^2-y^1}{x^2-x^1}$ and the point-slope form $y-y_1=m(x-x_1)$ to solve this problem.
Passing through $(3,5)$ and $(8,15)$
$\frac{15-5}{8-3}=2$
$y-5=2(x-3)$
$y-5=2x-6$
$y=2x-1$