Question

0,0. 1,3. 2,6. 3,9

Use similar triangles to determine the slope of the line

Answer 1

[AI-generated answer — Bot 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.