A line passes through (4,-8/3) and (-4/5, -2). What is the slope of this line?

as you know, the slope is

(change in y)/(change in x)

Here, that would be

(-2-(-8/3))/(-4/5-4)
= (2/3) / (-24/5)
= 2/3 * -5/24
= -10/72
= -5/36