We will have the following:
First, we recall the general equation of the line:
[tex]y-y_1=m(x-x_1)[/tex]Now, we replace the values and solve for y, that is:
[tex]y-4=\frac{4}{3}(x-0)\Rightarrow y=\frac{4}{3}x+4[/tex]So, the equation in slope intercept form is:
[tex]y=\frac{4}{3}x+4[/tex]