The line equation is,
y = mx + b....... (1)
Here, m is the slope and b is the y intercept.
The given equation is,
[tex]y+3>-\frac{3}{2}(x+1)[/tex][tex]\begin{gathered} y>-\frac{3}{2}x-\frac{3}{2}-3 \\ y>-\frac{3}{2}x-\frac{3-6}{2} \\ y>-\frac{3}{2}x+1 \end{gathered}[/tex]So, equating the coefficients with the general equation, (1), we have,
slope, m =-3/2
y intercept b=1