Answer
\begin{array}{l}\require{cancel}
\text{Slope-Intercept Form: }
y=\dfrac{3x}{2}+\dfrac{7}{2}
\\\text{Slope: }
\dfrac{3}{2}
\\\text{$y$-intercept: }
\left(0, \dfrac{7}{2}\right)
\end{array}
Work Step by Step
Using the properties of equality, the given equation, $
-3x+2y=7
,$ is equivalent to
\begin{array}{l}\require{cancel}
2y=3x+7
\\\\
\dfrac{2y}{2}=\dfrac{3x+7}{2}
\\\\
y=\dfrac{3x}{2}+\dfrac{7}{2}
.\end{array}
Using $y=mx+b$ (where $m$ is the slope and $(0, b)$ is the $y$-intercept) or the Slope-Intercept Form of linear equations, then the equation above has the following properties
\begin{array}{l}\require{cancel}
\text{Slope-Intercept Form: }
y=\dfrac{3x}{2}+\dfrac{7}{2}
\\\text{Slope: }
\dfrac{3}{2}
\\\text{$y$-intercept: }
\left(0, \dfrac{7}{2}\right)
.\end{array}