Take 2 points
Slope:-
[tex]\\ \sf\longmapsto m=\dfrac{0-4}{-6}=\dfrac{4}{6}=\dfrac{2}{3}[/tex]
Equation in point slope form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y-4=\dfrac{2}{3}(x-0)[/tex]
[tex]\\ \sf\longmapsto 3(y-4)=2x[/tex]
[tex]\\ \sf\longmapsto 3y-12=2x[/tex]
[tex]\\ \sf\longmapsto 3y=2x+12[/tex]
[tex]\\ \sf\longmapsto 2x-3y+12=0[/tex]
