Slope:-
[tex]\\ \sf\longmapsto m=\dfrac{2-0}{0+4}=\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]
Equation of the line in point slope form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y-0=\dfrac{-1}{2}(x+4)[/tex]
[tex]\\ \sf\longmapsto 2y=x+4[/tex]
[tex]\\ \sf\longmapsto x-2y+4=0[/tex]