Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
The average rate of change can be found by using the following formula
[tex]\frac{f(x_{2}) - f(x_{1}) }{x_{2} - x_{1}}[/tex]
Since the interval goes from -7 to 2, we should find the y-values that correspond to x=-7 and x=2.
By inspection of the graph, we can clearly see that when x is -7, y is -7 as well and when x is 2, y is 5.
Now that we know this, we can simply plug these values into the formula!
[tex]\frac{f(2) - f(-7) }{2 - (-7)} = \frac{5 - (-7)}{2 - (-7)} = \frac{5 +7}{2+7} = \frac{12}{9} = \frac{4}{3}[/tex]
Good luck!
