Answer
$\displaystyle \frac{1}{3}$
Work Step by Step
The y-intercept is the y-coordinate of the point on the graph for which $x=0$ (on the y-axis).
Substitute x=0 into the defining expression for r(x).
$r(0)=\displaystyle \frac{1(-2)}{(2)(-3)}=\frac{1}{3}$