The slope of the graph, represented by the consecutive points (0,0), (1,1), (2,2), and (3,3), is consistently 1. This signifies a straight line with a 45-degree angle with the x-axis.
The coordinates given (0,0), (1,1), (2,2), and (3,3) represent points on a straight line that passes through the origin (0,0). The slope of a line is calculated as the change in the vertical coordinates divided by the change in the horizontal coordinates between two points. In this case, let's take consecutive points:
Slope = (Change in y) / (Change in x)
For points (0,0) and (1,1):
Slope = (1 - 0) / (1 - 0) = 1/1 = 1
For points (1,1) and (2,2):
Slope = (2 - 1) / (2 - 1) = 1/1 = 1
For points (2,2) and (3,3):
Slope = (3 - 2) / (3 - 2) = 1/1 = 1
Consistently, the slope between any two consecutive points on the graph is 1. This implies that the entire graph is a straight line, and the slope remains constant throughout. The line has a 45-degree angle with the x-axis, indicating that for every unit increase in the x-coordinate, there is an equal increase in the y-coordinate.