the general form of the line is
[tex]y=mx+b[/tex]where m is the slope of the line and b the y-intercept
we get the slope from the statement m=-6
[tex]y=-6x+b[/tex]now to find the value of b we replace the point (-2,4) and solve for b
[tex]\begin{gathered} (4)=-6(-2)+b \\ 4=12+b \\ b=4-12 \\ b=-8 \end{gathered}[/tex]now replace the value of b
[tex]y=-6x-8[/tex]and transform to the standard form placing the unknows on the same side
[tex]y+6x=-8[/tex]we can reorganize
[tex]6x+y=-8[/tex]then right option is Third option
