The slope of the line parallel to the given line will be same as that of the given line.
Let 'm' be the slope of the line,
[tex]y-b=m(x-a)[/tex]Substitute a=4 and b=-5 in the above expression.
[tex]\begin{gathered} y-(-5)=m\times(x-4) \\ y+5=mx-4m \\ y=mx-4m-5 \end{gathered}[/tex]Thus, the expression of the parallel line is y=mx-4m-5.
