On a coordinate plane, a parabola opens up. Solid circles appear on the parabola at (negative 6, 6), (negative 4.5, 2.25), (negative 3, 0), (negative 1.5, negative 0.75), (0, 0), (1,5, 2.25), and (3, 6).
Which is the rate of change for the interval between –6 and –3 on the x-axis?

Question

Isolation · Answer

You want the rate of change between -6 and -3 on the x axis, so first find the 2 coordinates that are -6 and -3 as the x value

they are:
(-6,6) ad (-3,0)

so find the slope between those 2 coordinates

Isolation · Answer

$$(x_{1},y_{1}) ~~and~~(x_{2},y_{2})~~~in\\\\ \frac{ y_{2}-y_{1} }{ x_{2}-x_{1} }$$

Isolation · Answer

So with $(-6,6) ~and~(-3,0)$ you can do $\frac{6-0}{-6-(-3)}$

Isolation · Answer

after simplifying that fraction, you can get your answer