Answer
\begin{array}{l}\require{cancel}
\text{Slope-Intercept Form: }
y=\dfrac{9}{2}x-5
\\\text{Slope: }
\dfrac{9}{2}
\\\text{$y$-intercept: }
(0, -5)
\end{array}
Work Step by Step
Using the properties of equality, the given equation is equivalent to
\begin{array}{l}\require{cancel}
-2y=-9x+10
\\\\
\dfrac{-2y}{-2}=\dfrac{-9x+10}{-2}
\\\\
y=\dfrac{-9}{-2}x+\dfrac{10}{-2}
\\\\
y=\dfrac{9}{2}x-5
.\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{9}{2}x-5
\\\text{Slope: }
\dfrac{9}{2}
\\\text{$y$-intercept: }
(0, -5)
\end{array}