The first step is to find the slope intercept form of all the given equations, to do it, solve each equation for y:
[tex]\begin{gathered} y+4x=6 \\ y=-4x+6 \end{gathered}[/tex][tex]\begin{gathered} 4x+y=6 \\ y=-4x+6 \end{gathered}[/tex][tex]y=-4x+6[/tex][tex]\begin{gathered} -4x+y=6 \\ y=4x+6 \end{gathered}[/tex]The equations that have a slope of -4 and pass throug (0,6) (y intercept) are the first, the second and the third one.
