To determine the slope of the line represented by the equation, we first need to rewrite the equation in the slope-intercept form, which is \( y = mx + b \), where \( m \) represents the slope.
The given equation is:
\[ y = -\frac{2}{3} - 5x \]
We can rewrite it as:
\[ y = -5x - \frac{2}{3} \]
From this form, we can see that the slope \( m \) is the coefficient in front of \( x \). Thus, the slope is:
\[ m = -5 \]
Therefore, the slope of the line is:
–5.
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