We want to find the equation of a line with;
[tex]\text{slope }\frac{1}{3}\text{ and y-intercept }(0,-4)[/tex]The euation of a line in slope intercept form is;
[tex]y=mx+c[/tex]Therefore, putting these values into the equation, the correct equation is;
[tex]y=\frac{1}{3}x-4[/tex]Therefore, the correct answer is Option A
