The situation that will include the origin when graphed is phone service costs $5.00, and an additional 5 cents for each minute.
When we graph this situation, the x-axis represents the number of minutes used, and the y-axis represents the total cost. At zero minutes, the total cost is $5.00, which is the origin. As the number of minutes used increases, the total cost will increase as well, resulting in a line with a positive slope.