The slope intercept form of a linear equation is given as:
[tex]y=mx+b[/tex]Let's write the one given like this:
[tex]\begin{gathered} y-3=-2(x+1) \\ y-3=-2x-2 \\ y=-2x-2+3 \\ y=-2x+1 \end{gathered}[/tex]Therefore the slope intercept form is:
[tex]y=-2x+1[/tex]