To determine the slope of the line represented by the equation [tex]\( y = \frac{4}{5} x - 3 \)[/tex], we can identify the form of the equation. This equation is written in the slope-intercept form, [tex]\( y = mx + b \)[/tex], where:
- [tex]\( m \)[/tex] is the slope of the line,
- [tex]\( b \)[/tex] is the y-intercept, the value of [tex]\( y \)[/tex] when [tex]\( x = 0 \)[/tex].
For the given equation [tex]\( y = \frac{4}{5} x - 3 \)[/tex]:
- The coefficient of [tex]\( x \)[/tex] is [tex]\( \frac{4}{5} \)[/tex].
Thus, the slope [tex]\( m \)[/tex] of the line is [tex]\( \frac{4}{5} \)[/tex].
So, the correct answer is:
[tex]\[ \frac{4}{5} \][/tex]
