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0,0. 1,3. 2,6. 3,9
Use similar triangles to determine the slope of the line
Use similar triangles to determine the slope of the line
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GPT 3.5
The slope of the line can be determined by examining the change in y-coordinates divided by the change in x-coordinates between two points on the line.
Looking at the points (0,0) and (1,3), the change in y-coordinates is 3-0 = 3 and the change in x-coordinates is 1-0 = 1. So the slope between these two points is 3/1 = 3.
Similarly, looking at the points (1,3) and (2,6), the change in y-coordinates is 6-3 = 3 and the change in x-coordinates is 2-1 = 1. So the slope between these two points is 3/1 = 3.
Since the slope between any two points on the line is consistently 3, we can conclude that the slope of the line is 3.
Looking at the points (0,0) and (1,3), the change in y-coordinates is 3-0 = 3 and the change in x-coordinates is 1-0 = 1. So the slope between these two points is 3/1 = 3.
Similarly, looking at the points (1,3) and (2,6), the change in y-coordinates is 6-3 = 3 and the change in x-coordinates is 2-1 = 1. So the slope between these two points is 3/1 = 3.
Since the slope between any two points on the line is consistently 3, we can conclude that the slope of the line is 3.
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