No points from the given table lie on the graph of y = 6, as none of them have a y-coordinate of 6. Thus, no point letters should be entered as being on the graph of y = 6.
The student's question is about identifying which points lie on the graph of the equation y = 6. A horizontal line represented by this equation means that for any value of x, the y-value will always be 6. Therefore, a point lies on this graph if its y-coordinate is 6.
Based on the provided information, none of the points given in the table, which are (1,5), (2,10), (3,7), and (4,14), have a y-coordinate of 6. These points do not lie on the graph of y = 6 and hence, none of the listed points' letters should be entered.
The characteristics of the graph mentioned in the question, like the description of the slope and y-intercept in FIGURE A1, are important for understanding line graphs but are not directly relevant to answering this specific question about the horizontal line y = 6.