At first we should know that :
The product of the slope of the perpendicular lines = -1
Which mean if the slope of one of them is m and the slope of the other is m'
So,
[tex]m\times m^{\prime}=-1[/tex]Given : the slope of one line is = m = -5
So, the slope of the perpendicular line will be m'
So,
[tex]\begin{gathered} -5\cdot m^{\prime}=-1 \\ \\ m^{\prime}=\frac{-1}{-5}=\frac{1}{5} \end{gathered}[/tex]So, the answer is : the slope of the other line = 1/5
