Given:
The slope of the line, m=-2.
The coordinates of a point through which the line passes, (x1, y1)=(2, -4).
The point slope form of the equation of a line is given by,
[tex]y-y1=m(x-x1)[/tex]Substitute the known values in the above equation.
[tex]\begin{gathered} y-(-4)=-2(x-2) \\ y+4=-2x-2\times(-2) \\ y+4=-2x+4 \\ y=-2x+4-4 \\ y=-2x \end{gathered}[/tex]Therefore, the equation of the line is y = - 2x.
