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Use the figure below to list the slopes m₁, m₂, m3, and m4 in order of decreasing size.

Use The Figure Below To List The Slopes M M M3 And M4 In Order Of Decreasing Size class=

Sagot :

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:

  • m4 and m3 are positive.
  • m2 and m1 are negative.

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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