Final answer:
Line A is a decreasing line with a steeper negative slope (-4.7) compared to Line B, which is an increasing line with a positive slope (12.0).
Step-by-step explanation:
The question relates to the determination of the characteristics of two lines based on their slopes. Given that Line A has a slope of -4.7 and Line B has a slope of 12.0, we can draw certain conclusions about their graphs. A negative slope, as seen for Line A, indicates that the line is decreasing, which means as you move from left to right across the graph, the line descends. On the contrary, a positive slope, corresponding to Line B, means that the line is increasing; it ascends as you move from left to right. The value of the slope indicates the steepness of the line; thus, with a slope of -4.7, Line A is steeper than Line B with its slope of 12.0 but in the opposite direction.