To find the slope of the line represented by the equation \( y = \frac{4}{5}x - 3 \), we need to recognize the form of a linear equation. The equation is given in the slope-intercept form, which is:
[tex]\[ y = mx + b \][/tex]
In this form, \( m \) represents the slope of the line, and \( b \) represents the y-intercept.
In the given equation \( y = \frac{4}{5}x - 3 \):
- \( m \), the coefficient of \( x \), is \(\frac{4}{5}\).
- \( b \), the constant term, is \(-3\).
Since \( m \) is the slope and the coefficient of \( x \) in our equation is \(\frac{4}{5}\), the slope of the line is:
[tex]\[ \frac{4}{5} \][/tex]
Thus, the slope of the line represented by the equation \( y = \frac{4}{5}x - 3 \) is:
[tex]\[ \boxed{0.8} \][/tex]
So, the correct answer is [tex]\( \frac{4}{5} \)[/tex].
