the paper didnt explain how to do this clearly could you take me step by step how to do this

Given data:The given point is (2,-2).The equation of the line is y= -2x+3.The standard equation of the line is,[tex]y=mx+c[/tex]Compare the given equation with the above equation.[tex]m=-2[/tex]Two parallel lines have equal slope, the equation of the line parallel to the given line and passing through (2, -2) is,[tex]\begin{gathered} y-(-2)=m(x-2) \\ y+2=-2(x-2) \\ y+2=-2x+4 \\ y=-2x+2 \end{gathered}[/tex]Thus, the equation of the line is y= -2x+2.