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 (-3, 2) and (3, -2):
change in y = -2 - 2 = -4
change in x = 3 - (-3) = 3 + 3 = 6

For the next two points (3, -2) and (9, -6):
change in y = -6 - (-2) = -6 + 2 = -4
change in x = 9 - 3 = 6

For the last two points (9, -6) and (18, -12):
change in y = -12 - (-6) = -12 + 6 = -6
change in x = 18 - 9 = 9

Now, let's calculate the slope:

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

For the first two points: slope = -4 / 6 = -2/3
For the next two points: slope = -4 / 6 = -2/3
For the last two points: slope = -6 / 9 = -2/3

As we can see, the slope is the same (-2/3) for all the intervals in the given table.

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

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