To solve for the slope of the line represented by the equation [tex]\( y = \frac{4}{5}x - 3 \)[/tex], we need to recall the form of a linear equation, which is known as the slope-intercept form. The general slope-intercept form of a line is:
[tex]\[ y = mx + b \][/tex]
In this form:
- [tex]\( m \)[/tex] represents the slope of the line.
- [tex]\( b \)[/tex] represents the y-intercept of the line.
Comparing the given equation [tex]\( y = \frac{4}{5}x - 3 \)[/tex] with the general form [tex]\( y = mx + b \)[/tex], we can see that:
- [tex]\( m \)[/tex], which is the coefficient of [tex]\( x \)[/tex], is [tex]\(\frac{4}{5}\)[/tex].
Therefore, the slope of the line is:
[tex]\(\boxed{\frac{4}{5}}\)[/tex]
This simplifies further to 0.8 when expressed as a decimal, but the value remains [tex]\(\frac{4}{5}\)[/tex] in fractional form. Thus, the correct answer among the given choices is [tex]\(\frac{4}{5}\)[/tex].
