Answer
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Step 1: Recall the formula for finding the slope of a line perpendicular to a given line.
If a line has a slope of $m$, then the slope of a line perpendicular to it is given by $m_{perp} = -\frac{1}{m}$.
Step 2: Apply the formula to find the slope perpendicular to $m=\frac{5}{8}$.
m_{perp} = -\frac{1}{m} = -\frac{1}{\frac{5}{8}} = -\frac{8}{5}.
We have
Final Answer
The slope perpendicular to $m=\frac{5}{8}$ is $m_{perp} = -\frac{8}{5}$.
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