The graph of a line is represented by the equation 5x-8y=40 Which value represents the rate of change of y with respect to x for the equation? 8/5 5/8 -5/8 -8/5

To find the rate of change of y with respect to x for the equation $5x-8y=40$, we need to rewrite the equation in slope-intercept form, which is $y = mx + b$, where m represents the slope.<br /><br />Starting with the given equation:<br />$5x - 8y = 40$<br /><br />We can isolate y by moving the terms involving x to the other side:<br />$-8y = -5x + 40$<br /><br />Now, divide both sides by -8 to solve for y:<br />$y = \frac{5}{8}x - 5$<br /><br />From this equation, we can see that the rate of change of y with respect to x is $\frac{5}{8}$.<br /><br />Therefore, the correct answer is $\frac{5}{8}$.