Respuesta :

Step-by-step explanation:

Since line is passing through the point (0, 4) & has a slope [tex] \frac{1}{2}. \\\\

\therefore (x_1,\:\:y_1) =(0, \:\:4)\:\:\&\:\:m = \frac{1}{2}\\\\[/tex]

Equation of line in slope point form is given as:

[tex]y-y_1 =m(x-x_1) \\ \\ \therefore \: y - 4 = \frac{1}{2} (x - 0) \\ \\ \huge \purple{ \boxed{\therefore \: \frac{y - 4 }{x - 0} = \frac{1}{2} }} \\ [/tex]

Thus, option A is the correct answer.