The given equation is
[tex]y+1=4(x+1)[/tex]We need to put it in the form
[tex]y=mx+b[/tex]Then at first, we will simplify the right side
[tex]\begin{gathered} y+1=4(x)+4(1) \\ \\ y+1=4x+4 \end{gathered}[/tex]Now, we will subtract 1 from both sides
[tex]\begin{gathered} y+1-1=4x+4-1 \\ \\ y=4x+3 \end{gathered}[/tex]The slope-intercept form is y = 4x + 3