Answer
$\text{Slope: }
\dfrac{1}{2}
\\\text{$y$-intercept: }
-\dfrac{3}{2}$
Work Step by Step
The given equation is equivalent to
\begin{array}{l}\require{cancel}
x-2y=3
\\\\
-2y=-x+3
\\\\
\dfrac{-2y}{-2}=\dfrac{-1}{-2}x+\dfrac{3}{-2}
\\\\
y=\dfrac{1}{2}x-\dfrac{3}{2}
.\end{array}
Using $y=mx+b$ (where $m$ is the slope and $b$ is the $y$-intercept) or the Slope-Intercept Form of linear equations, then the equation, $
y=\dfrac{1}{2}x-\dfrac{3}{2}
,$ has the following properties:
\begin{array}{l}\require{cancel}
\text{Slope: }
\dfrac{1}{2}
\\\text{$y$-intercept: }
-\dfrac{3}{2}
.\end{array}