Is it reasonable to be extend the line through know the origin and explain?

Yes, it is reasonable to extend a line through a known origin based on the properties of linear equations. A line is defined by its slope and intercept, and if you know the origin (0,0), you can accurately determine the line's path by applying the slope. This extension assumes that the linear relationship holds true beyond the initial points, which is typical in mathematical modeling unless specified otherwise. However, it's essential to consider the context, as real-world data may not always follow a linear trend indefinitely.