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 (-9, -1) and (-3, 1):
change in y = 1 - (-1) = 2
change in x = -3 - (-9) = -3 + 9 = 6

For the next two points (-3, 1) and (6, 4):
change in y = 4 - 1 = 3
change in x = 6 - (-3) = 6 + 3 = 9

For the last two points (6, 4) and (12, 6):
change in y = 6 - 4 = 2
change in x = 12 - 6 = 6

Now, let's calculate the slope:

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

For the first two points: slope = 2 / 6 = 1/3
For the next two points: slope = 3 / 9 = 1/3
For the last two points: slope = 2 / 6 = 1/3

As we can see, the slope is the same (1/3) for all the intervals in the given table.

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