Question

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?
a -8/5
b -5/8
c 5/8
d 8/5

Explanation:

Step1: Rewrite the equation in slope - intercept form

The slope - intercept form is $y = mx + b$, where $m$ is the rate of change of $y$ with respect to $x$. Start with $5x-8y = 40$. First, isolate $y$:
$-8y=-5x + 40$.

Step2: Solve for $y$

Divide each term in the equation $-8y=-5x + 40$ by $-8$:
$y=\frac{5}{8}x-5$.

Answer:

D. $\frac{5}{8}$