Answer: [tex]\dfrac{1}{8}[/tex]
Step-by-step explanation:
The given equation of a line : [tex]y = 8x + 5[/tex]
We know that general Slope-intercept form of equation is given by :-
[tex]y=mx+c[/tex], where m is the slope of the line.
When we compare the given equation the general slope intercept form of equation , we get
Slope of line = 8
We know that the product of slopes of two perpendicular line is -1.
Let m be the slope of line that is perpendicular to the line [tex]y = 8x + 5[/tex], then we have
[tex]-8\times m=-1\\\\\Rightarrow\ m=\dfrac{1}{8}[/tex]
