Since all the slopes between each pair of points are equal to 0.6, we can conclude that the slope of the line representing this proportional relationship is 0.6.
To find the slope of the line that represents this proportional relationship, we can use the formula for slope:
slope = (change in y)/(change in x)
Let's calculate the slope using the given points (0,0), (2,1.2), (4,2.4), (6,3.6), (8,4.8):
The change in y is the difference between the y-values of two points, and the change in x is the difference between the x-values of the same two points.
For example, to find the slope between the points (0,0) and (2,1.2):
Change in y = 1.2 - 0 = 1.2
Change in x = 2 - 0 = 2
Now, let's calculate the slope between each pair of points:
- Slope between (0,0) and (2,1.2):
slope = (1.2 - 0)/(2 - 0) = 1.2/2 = 0.6
- Slope between (2,1.2) and (4,2.4):
slope = (2.4 - 1.2)/(4 - 2) = 1.2/2 = 0.6
- Slope between (4,2.4) and (6,3.6):
slope = (3.6 - 2.4)/(6 - 4) = 1.2/2 = 0.6
- Slope between (6,3.6) and (8,4.8):
slope = (4.8 - 3.6)/(8 - 6) = 1.2/2 = 0.6