The slope intercept form is given by:
[tex]\begin{gathered} y=mx+b \\ \text{Where:} \\ m=\text{Slope} \\ b=y-\text{intercept} \end{gathered}[/tex]So:
[tex]\begin{gathered} -5x-4y=-4 \\ \text{Solve for y:} \\ \text{Multiply both sides by -1:} \\ 5x+4y=4 \\ \text{Subtract 5x from both sides:} \\ 4y=4-5x \\ \text{Divide both sides by 4:} \\ y=\frac{4-5x}{4} \\ y=-\frac{5}{4}x+1 \end{gathered}[/tex]