To find the slope of a line, we need to determine the change in y (Δy) divided by the change in x (Δx).
Looking at the given graph, we can see that as x increases from -10 to -1, the y-values are decreasing. Then, as x increases from -1 to 6, the y-values are increasing. From x = 6 to x = 10, the y-values remain constant.
-10 to -1: There is a decrease in y
Δy = -9 - (-1) = -8
Δx = -1 - (-10) = 9
-1 to 6: There is an increase in y
Δy = 5 - (-9) = 14
Δx = 6 - (-1) = 7
6 to 10: There is no change in y
Δy = 0
Δx = 10 - 6 = 4
Now, we can calculate the slope:
For the first segment: slope = Δy/Δx = -8/9
For the second segment: slope = Δy/Δx = 14/7 = 2
For the third segment: slope = Δy/Δx = 0/4 = 0
Therefore, the slope of the line is as follows:
-10 to -1: -8/9
-1 to 6: 2
6 to 10: 0