use similar triangles to determine the slope of the line
Slope is _______. The coordinates are (0,0), (1,3), (2,6), (3,9)
The slope of the line can be determined by finding the ratio of the change in y-coordinates to the change in x-coordinates between any two points on the line.
Using the points (0,0) and (1,3):
Change in y-coordinates = 3 - 0 = 3
Change in x-coordinates = 1 - 0 = 1
So, the slope between these two points is 3/1 or 3.
Since the given points lie on a straight line, the slope will remain the same for all pairs of points:
Slope = 3
Therefore, the slope of the line is 3.