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 = - 6(x - 2) \\ \therefore \: y - 4 = - 6x + 12 \\ \therefore \: y = - 6x + 12 + 4\\ \red{ \bold{ \therefore \: y = - 6x + 16}} \\ or \: \purple{ \bold{ 6x + y - 16 = 0}} \\ is \: the \: required \: equation \: of \: line.[/tex]