Step-by-step explanation:
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 - 2) \\ \\ \therefore \: y + 4= - \frac{1}{2} x + \frac{1}{2} \times 2 \\ \\ \therefore \: y + 4= - \frac{1}{2} x + 1 \\ \\ \therefore \: y + 4 - 1= - \frac{1}{2} x \\ \\ \therefore \: y + 3= - \frac{1}{2} x \\ \\ \therefore \: 2y + 6= - x \\ \\ \huge \purple{ \boxed{\therefore \: x + 2y + 6= 0}} \\ is \: the \: required \: equation \: of \: line.[/tex]
