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 (-18, 9) and (-4, 2):
change in y = 2 - 9 = -7
change in x = -4 - (-18) = -4 + 18 = 14

For the next two points (-4, 2) and (6, -3):
change in y = -3 - 2 = -5
change in x = 6 - (-4) = 6 + 4 = 10

For the last two points (6, -3) and (14, -7):
change in y = -7 - (-3) = -7 + 3 = -4
change in x = 14 - 6 = 8

Now, let's calculate the slope:

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

For the first two points: slope = -7 / 14 = -1/2
For the next two points: slope = -5 / 10 = -1/2
For the last two points: slope = -4 / 8 = -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 B. The slope from the table is