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.

Starting with the given equation:
$$5x - 8y = 40$$

We can isolate y by moving the terms involving x to the other side:
$$-8y = -5x + 40$$

Now, divide both sides by -8 to solve for y:
$$y = \frac{5}{8}x - 5$$

From this equation, we can see that the rate of change of y with respect to x is $$\frac{5}{8}$$ .

Therefore, the correct answer is $$\frac{5}{8}$$ .