To determine the slope of the line represented by the equation [tex]\( y = \frac{4}{5} x - 3 \)[/tex], let's analyze the structure of the equation. The general form of a linear equation is:
[tex]\[ y = mx + b \][/tex]
In this form, [tex]\( m \)[/tex] represents the slope of the line, and [tex]\( b \)[/tex] represents the y-intercept.
Given the equation:
[tex]\[ y = \frac{4}{5} x - 3 \][/tex]
We can compare this with the general form [tex]\( y = mx + b \)[/tex]. Here, [tex]\( m \)[/tex] is the coefficient of [tex]\( x \)[/tex].
In the given equation, the coefficient of [tex]\( x \)[/tex] is [tex]\( \frac{4}{5} \)[/tex]. Therefore, the slope [tex]\( m \)[/tex] is [tex]\( \frac{4}{5} \)[/tex].
So the correct answer is:
[tex]\[ \frac{4}{5} \][/tex]
