What is the slope of the line represented by the equation [tex]$y = \frac{4}{5}x - 3$[/tex]?

A. [tex]-3[/tex]
B. [tex]-\frac{4}{5}[/tex]
C. [tex]\frac{4}{5}[/tex]
D. [tex]3[/tex]



Answer :

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]