Step-by-step explanation:
Equation of line in slope intercept form is given as:
[tex]y = mx + b \\ \therefore \: y = - \frac{1}{4} x + ( - 6) \\ \therefore \: y = - \frac{1}{4} x - 6 \\ \therefore \:4y = - x - 24 \\ \huge \red{ \boxed{\therefore \:x + 4y + 24 = 0}} \\ is \: the \: required \: equation \: of \: line.[/tex]
