Answer:
[tex]-\frac{8}{13}[/tex]
Step-by-step explanation:
To find the slope of the line that is perpendicular to a line with a given slope, we simply take the negative reciprocal of the given slope.
The given slope is: [tex]\frac{13}{8}[/tex]
The reciprocal is obtained by swapping the numerator and the denominator.
The negative reciprocal of the slope is: [tex]-\frac{8}{13}[/tex]