Answer:
Average rate of change is -3
Explanation:
Is "(-5,5)(-6,8)" supposed to represent a straight line? We will assume so, since no equation is provided for which to determine an average rate of change.
Lets find the equation of the line defined by (-5,5)(-6,8). We'll look for one of the form y=mx + b, where m is the slope and b is the y-intercept (the value of y when x equals zero).
Slope: Rise/Run
Rise = (8-5) = 3
Run = ((-6 - (-5) = -1
Slope = 3/-1 or -3
We can write y = -3x + b Find b by entering either of the two known points. Let's use (-5,5).
y = -3x + b
5 = -3*(-5) + b
5 = 15 + b
b = -10
The equation for this line is y = -3x - 10
See the attached graph.
The average rate of change between the two points is the slope of the line between the points. The slope of -3 is the rate of change.