The slope of the linear function described in this problem is:
m = -3.
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.
In this problem, the line goes through points (5,3) and (8,-6). Considering that the slope is given by change in y divided by change in x, for this function, it is given by:
m = (-6 - 3)/(8 - 5) = -9/3 = -3
The slope of the linear function described in this problem is:
m = -3.
More can be learned about linear functions at https://brainly.com/question/24808124
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