Question

which is the rate of change for the interval between -6 and -3 on the x - axis?

Explanation:

Step1: Identify (x,y) pairs

At $x=-6$, $y=-4$; at $x=-3$, $y=2$.

Step2: Apply rate of change formula

Rate of change = $\frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}$
$\frac{2 - (-4)}{-3 - (-6)} = \frac{6}{3}$

Step3: Simplify the expression

$\frac{6}{3}=2$

Answer:

2