The slope intercept form is y=mx+b, where m is slope and b is the -intercept
[tex]\begin{gathered} 6x+8y=-32 \\ 6x+8y-6x=-32-6x \\ 8y=-32-6x \\ \frac{8y}{8}=-\frac{32}{8}-\frac{6x}{8} \\ y=-\frac{3}{4}x-4 \end{gathered}[/tex]
here m = -3/4 and b = -4
therefore the slope of the line equation is -3/4
the y-intercept is - 4
