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 (-8, -4) and (-10, -5):
change in y = -5 - (-4) = -5 + 4 = -1
change in x = -10 - (-8) = -10 + 8 = -2

For the next two points (-10, -5) and (-12, -6):
change in y = -6 - (-5) = -6 + 5 = -1
change in x = -12 - (-10) = -12 + 10 = -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 C. The slope from the table is