To determine the slope of the line represented by the equation [tex]\( y = \frac{2}{3} - 5x \)[/tex], we need to express it in the slope-intercept form. The slope-intercept form of a linear equation is given by:
[tex]\[ y = mx + b \][/tex]
where [tex]\( m \)[/tex] is the slope and [tex]\( b \)[/tex] is the y-intercept.
Given the equation:
[tex]\[ y = \frac{2}{3} - 5x \][/tex]
we can rearrange it to match the slope-intercept form. This involves identifying the term with [tex]\( x \)[/tex] and understanding its coefficient:
[tex]\[ y = -5x + \frac{2}{3} \][/tex]
In this equation, the term [tex]\(-5x\)[/tex] indicates that [tex]\( m = -5 \)[/tex].
Thus, the slope of the line is:
[tex]\[ m = -5 \][/tex]
So, the correct answer is:
-5
