we have the next line
[tex]2y=8-3x[/tex]in order to know the slope we need to clear y
[tex]\begin{gathered} y=-\frac{3}{2}x+\frac{8}{2} \\ y=-\frac{3}{2}x+4 \end{gathered}[/tex]we know the slope-intercept form is
[tex]y=mx+y[/tex]where m is the slope so we can assume m=-3/2
