To find the correlation coefficient \( r \) for the equation \( y = \frac{4}{3}x - 4 \), we first recognize that this is a linear equation in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
The slope \( m \) here is \( \frac{4}{3} \), which indicates a positive linear relationship between \( x \) and \( y \).
The correlation coefficient \( r \) for a perfect linear relationship (either positive or negative) is either \( 1.00 \) (for a perfect positive linear correlation) or \( -1.00 \) (for a perfect negative linear correlation).
Since the slope \( \frac{4}{3} \) is positive and does indicate a linear relationship where \( y \) increases as \( x \) increases, the correlation coefficient is:
\[ r = 1.00 \]
Thus, the answer to your question is \( 1.00 \).