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

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

For the next two points (3, 3) and (5, 4):
change in y = 4 - 3 = 1
change in x = 5 - 3 = 2

For the last two points (5, 4) and (7, 5):
change in y = 5 - 4 = 1
change in x = 7 - 5 = 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

Click "Show Answer" to reveal the answer and analysis