To find the rate of change of \( y \) with respect to \( x \) (which is the slope of the line), we need to rewrite the equation \( 5x - 8y = 40 \) in slope-intercept form (\( y = mx + b \)), where \( m \) is the slope.
Starting with the given equation:
\[ 5x - 8y = 40 \]
We can rearrange it to solve for \( y \):
- Subtract \( 5x \) from both sides:
\[ -8y = -5x + 40 \]
- Divide every term by \( -8 \):
\[ y = \frac{5}{8}x - 5 \]
In this form, the slope \( m \) is \( \frac{5}{8} \).
Thus, the rate of change of \( y \) with respect to \( x \) is:
\[ \frac{5}{8} \]
So the correct answer for the rate of change is:
\[ \frac{5}{8} \]
If you marked it incorrect previously, this value should clarify it.