Final answer:
The average rate of change between the points (3, 4) and (4, 2) is -2, indicating that the y-value decreases by 2 units for each 1 unit increase in x.
Step-by-step explanation:
The average rate of change between two points on a graph measures how much the y-value changes, on average, for each unit increase in the x-value. To find the average rate of change between the points (3, 4) and (4, 2), we use the formula:
Average Rate of Change = (Change in Y) / (Change in X)
Change in Y = Y2 - Y1 = 2 - 4 = -2
Change in X = X2 - X1 = 4 - 3 = 1
So, the average rate of change is -2/1 = -2. This means that for every 1 unit increase in x, the y-value decreases by 2 units.