Final answer:
The slope of graph D is 1 and the slope of graph E is 1. Both graphs represent a constant rate of change, which could indicate an object moving at a constant speed.
Step-by-step explanation:
The slope of a straight line graph can be calculated by finding the rise over the run between two points on the line. In the case of graph D, we need two points on the line to calculate the slope. Let's choose the points (2,1) and (4,3). The rise is the difference in the y-values of the points, which is 3-1=2. The run is the difference in the x-values of the points, which is 4-2=2. Therefore, the slope of graph D is 2/2=1.
For graph E, we can use the same method to calculate the slope. Let's choose the points (3,2) and (6,5). The rise is 5-2=3 and the run is 6-3=3. So the slope of graph E is 3/3=1.
The slope of a graph represents the rate of change or the steepness of the line. In the case of graph D and graph E, since the slopes are both 1, it means that the lines have a constant rate of change. This could represent a situation where an object is moving at a constant speed.