To find the slope of the graph of the equation [tex]\( y = -\frac{4}{5}x + 4 \)[/tex], we use the general form of a linear equation, which is [tex]\( y = mx + b \)[/tex]. In this form, [tex]\( m \)[/tex] represents the slope and [tex]\( b \)[/tex] represents the y-intercept.
In the given equation [tex]\( y = -\frac{4}{5}x + 4 \)[/tex], the coefficient of [tex]\( x \)[/tex] is [tex]\(-\frac{4}{5} \)[/tex]. This coefficient is the slope of the line.
Hence, the slope of the graph of [tex]\( y = -\frac{4}{5}x + 4 \)[/tex] is [tex]\(-0.8\)[/tex].