Given:
The slope of line, m= -3.
The coordnates of the point through which the line passes, (x1, y1)=(-4, -2).
The point slope formula to fidn the equation of a line is given by,
[tex]y-y1=m(x-x1)[/tex]Substitute the known values.
[tex]\begin{gathered} y-(-2)=-3(x-(-4)) \\ y+2=-3(x+4) \\ y+2=-3x-3\times4 \\ y+2=-3x-12 \\ y=-3x-12-2 \\ y=-3x-14 \end{gathered}[/tex]Therefore, the equation of the line is y=-3x-14.
