The graph is a straight line with a slope of 6, illustrating the linear relationship between the total hours driven (y) and the number of days (x) during Frank's road trip.
In the context of Frank's road trip, where he drives 6 hours every day, the relationship between the total number of hours driven (y) and the number of days (x) is linear. The rate of change in hours driven per day is constant at 6 hours. Therefore, the graph representing this relationship is a straight line with a slope of 6.
A linear equation expressing this relationship is y = 6x, where y is the total number of hours driven and x is the number of days. This equation represents a direct proportionality: for each additional day, the total hours driven increases by 6.
The graph of y = 6x would be a straight line passing through the origin (0, 0) with a positive slope of 6. Each point on the line corresponds to the total hours driven for a specific number of days.
In summary, the graph representing the relationship between the total number of hours driven and the number of days during Frank's road trip is a straight line with a slope of 6, reflecting the consistent daily driving duration.