Step-by-step explanation:
Equation of line in slope point form is given as:
[tex]y-y_1 = m(x-x_1 ) \\ \\ \therefore \: y - ( - 2) = \frac{3}{2} \{x - ( - 4) \} \\ \\ \therefore \:y + 2 = \frac{3}{2} (x + 4) \\ \\ \therefore \:2(y + 2) =3 (x + 4) \\ \\ \therefore \:2y + 4 =3 x + 12 \\ \\ \therefore \:3x - 2y + 12 - 4 = 0 \\ \\ \: \: \: \: \: \: \: \purple { \boxed{ \bold{ \therefore \:3x - 2y + 8= 0 }}}\\ is \: the \: required \: equation \: of \: line.[/tex]
