Answer
$y=2x$
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 $(1,2)$ and $(5,10)$
$\frac{10-2}{5-1}=2$
$y-2=2(x-1)$
$y-2=2x-2$
$y=2x$