the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
and to get it, we simply need two points off of the straight line, hmm let's use the ones in the picture below.

Answer:
w = -3/4 or -0.75
there is only one solution
Step-by-step explanation:
Is there a graph or anything given
The initial value of the graph is where
. Thus, in this case, the initial value is 12.
The rate of change of the graph is essentially the slope of the graph. In this case, we can use the slope formula:

and
are points on the graph
Let's use two points from the chart to find the slope:

In this case, the rate of change of the graph is 9.