Answer: 2
========================================
Explanation:
Let's find the slope of the graphed line
Use the slope formula on two points from the diagonal line. I'll pick the two points (-1,-2) and (0,2) to get
m = (y2-y1)/(x2-x1)
m = (2-(-2))/(0-(-1))
m = (2+2)/(0+1)
m = 4/1
m = 4
The slope of the graph is 4. This is the same as the rate of change for this graph.
-----------------
Repeat those steps for the data table
I'll pick the first two rows (0,-6) and (2,-2)
m = (y2-y1)/(x2-x1)
m = (-2-(-6))/(2-0)
m = (-2+6)/(2-0)
m = 4/2
m = 2
The slope, or rate of change, here is 2
-----------------
Now subtract the two slopes: 4-2 = 2
The answer is 2.
