Use similar triangles to determine the slope of the line.

Question

(1 point)
The slope is

coordinates: (3,9) (2,6) (1,3) (0,0) 6, 2, 3, 1

Answer 1

To find the slope of the line using similar triangles, we can compare the rise over run for each pair of points.

Between (3,9) and (2,6):
Rise = 9 - 6 = 3
Run = 3 - 2 = 1
So, the slope between these points is 3/1 = 3.

Between (2,6) and (1,3):
Rise = 6 - 3 = 3
Run = 2 - 1 = 1
So, the slope between these points is also 3/1 = 3.

Between (1,3) and (0,0):
Rise = 3 - 0 = 3
Run = 1 - 0 = 1
So, the slope between these points is 3/1 = 3.

Therefore, the slope of the line is 3.