Question

Determining the Value of the Slope from a Table
A 2-column table with 5 rows. Column 1 is labeled x with entries 1000, 1000, 1000, 1000, 1000. Column 2 is labeled y with entries 20, 23, 26, 29, 32.

What can you conclude about the slope of the values in the table? Check all that apply.
The slope is 3.
The slope is 0.
The slope is undefined.
The graph will be a horizontal line.
The graph will be a vertical line.
The graph will have a line with a positive slope.

Answer 1

Select:
- The slope is undefined.
- The graph will be a vertical line.

Reason: all x-values are 1000, so the points lie on the vertical line x = 1000. The "slope" would be rise/run = (change in y)/(change in x) = 3/0, which is undefined.