In decreasing size, the slopes of the linear functions are given as follows:
m4, m3, m2, m1.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Regarding the slope, we have that:
- Increasing lines have positive slopes.
- Decreasing lines have negative slopes.
Hence, for the lines in this graph:
Then, we consider the intensity of growth/decay.
- The pink line increases faster than the green line, meaning that it has a greater slope, that is, m4 > m3.
- The red line falls faster than the blue line, meaning that it's slope has a greater absolute value, but is less than m2, as they are negative, hence m2 > m1.
Thus the list is given by:
m4, m3, m2, m1.
More can be learned about linear functions at https://brainly.com/question/24808124
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