We have the following:
• when two lines are parallel the slopes are equal
,• when two lines are perpendicular the slopes are inverse
The equations are:
[tex]\begin{gathered} y+\frac{1}{5}x=4\rightarrow y=-\frac{1}{5}x+4\rightarrow m=-\frac{1}{5} \\ 20y+4x=80\rightarrow\frac{20}{20}y+\frac{4}{20}x=\frac{80}{20}\rightarrow y=-\frac{1}{5}x+4\rightarrow m=-\frac{1}{5} \end{gathered}[/tex]The slopes are the same, they are exactly the same line