Algebra-1

To find the slope from the table, we can use the formula for slope, which is:

slope = (change in y) / (change in x)

Let's calculate the changes in y and x for consecutive data points in the table:

For the first two points (2, 2) and (4, 1):
change in y = 1 - 2 = -1
change in x = 4 - 2 = 2

For the next two points (4, 1) and (6, 0):
change in y = 0 - 1 = -1
change in x = 6 - 4 = 2

For the last two points (6, 0) and (8, -1):
change in y = -1 - 0 = -1
change in x = 8 - 6 = 2

Now, let's calculate the slope:

slope = (change in y) / (change in x)

For all the intervals: slope = -1 / 2 = -1/2

As we can see, the slope is the same (-1/2) for all the intervals in the given table.

Therefore, the correct answer is D. The slope from the table is

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