To find the rate of change (or slope) of the line in the graph, we use the formula for the slope, $m$, which is:

$m = \frac{{y_2 - y_1}}{{x_2 - x_1}}$

From the graph, we can identify two points on the line to calculate the slope. Let’s choose two points that the line passes through clearly:

1. Point 1: $( -6, 6 )$
2. Point 2: $( -2, -3 )$

Now, plug these points into the slope formula:

$m = \frac{{-3 - 6}}{{-2 - (-6)}} = \frac{{-9}}{{4}} = -\frac{9}{4}$

It appears that I made a mistake identifying the points