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 (-5, 10) and (-2, 5):
change in y = 5 - 10 = -5
change in x = -2 - (-5) = -2 + 5 = 3

For the next two points (-2, 5) and (1, 0):
change in y = 0 - 5 = -5
change in x = 1 - (-2) = 1 + 2 = 3

For the next two points (1, 0) and (4, -5):
change in y = -5 - 0 = -5
change in x = 4 - 1 = 3

For the last two points (4, -5) and (7, -10):
change in y = -10 - (-5) = -10 + 5 = -5
change in x = 7 - 4 = 3

Now, let's calculate the slope:

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

For all the intervals: slope = -5 / 3 = -5/3

As we can see, the slope is the same (-5/3) for all the intervals in the given table.

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

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