To find the slope of a line represented by the equation [tex]\( y = \frac{4}{5} x - 3 \)[/tex], we need to identify the coefficient of [tex]\( x \)[/tex] in the equation. The general form of a linear equation is [tex]\( y = mx + b \)[/tex], where [tex]\( m \)[/tex] is the slope and [tex]\( b \)[/tex] is the y-intercept.
In the given equation [tex]\( y = \frac{4}{5} x - 3 \)[/tex], the coefficient of [tex]\( x \)[/tex] is [tex]\( \frac{4}{5} \)[/tex]. Therefore, the slope [tex]\( m \)[/tex] of the line is [tex]\( \frac{4}{5} \)[/tex].
So, the correct answer is [tex]\( \frac{4}{5} \)[/tex].
