Answer
Finding the distance along the line can be solved using precalculus.
$d=\sqrt{68}$
Work Step by Step
Using the distance formula:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
$d=\sqrt{(3-1)^2+(9-1)^2}$
$d=\sqrt{2^2+8^2}$
$d=\sqrt{4+64}$
$d=\sqrt{68}$