First thing, you need to transform this equation to the form of y = ax + b
So you get:
2x + 5y = 8
5y = -2x + 8
[tex]y = -\frac{2}{5} x + \frac{8}{5} [/tex]
In the form of y = ax + b, a is the slope.
In [tex]y = -\frac{2}{5} x + \frac{8}{5} [/tex], you can see "[tex]- \frac{2}{5} x[/tex]", and always the number before x is the slope
So, the slope of 2x + 5y = 8 is [tex]- \frac{2}{5}[/tex]
Hope this Helps :)