To determine the slope of the line represented by the equation [tex]\( y = \frac{4}{5} x - 3 \)[/tex], we start by recognizing that this equation is in the slope-intercept form, which is given by [tex]\( y = mx + b \)[/tex].
In the slope-intercept form, [tex]\( y = mx + b \)[/tex]:
- [tex]\( m \)[/tex] represents the slope of the line.
- [tex]\( b \)[/tex] represents the y-intercept of the line.
Given the equation [tex]\( y = \frac{4}{5} x - 3 \)[/tex]:
- The coefficient of [tex]\( x \)[/tex] (which is [tex]\( \frac{4}{5} \)[/tex]) represents the slope [tex]\( m \)[/tex].
- The constant term (which is [tex]\( -3 \)[/tex]) represents the y-intercept [tex]\( b \)[/tex].
Therefore, the slope [tex]\( m \)[/tex] of the line is [tex]\( \frac{4}{5} \)[/tex].
The correct answer is:
[tex]\(\frac{4}{5}\)[/tex].
