To find the y intercept we need to solve the equation for y:
[tex]\begin{gathered} 5x-2y=-4 \\ 5x+4=2y \\ y=\frac{5}{2}x+2 \end{gathered}[/tex]comparing with the equation:
[tex]y=mx+b[/tex]where m is the slope and b is the y intercept; we conclude that the y intercept of our equation is 2