The linear function modeled by the given graph is:
y = -4/5x - 3.
<h3>What is a linear function?</h3>
A linear function, in slope-intercept format, is modeled according to the rule presented below:
y = mx + b
In which the parameters of the function are described as follows:
- The coefficient m is the slope of the function, representing the rate of change of the function, that is, the change in y divided by the change in x.
- The coefficient b is the y-intercept of the function, which is the value of y when the function crosses the y-axis(x = 0).
The graphed function crosses the y-axis at y = -3, hence the intercept is given by:
b = -3.
When x increased by 5, from -5 to 0, y decayed by 4, from 1 to -3, hence the slope of the function is given by:
m = -4/5.
Then then function is defined according to the following equation:
y = -4/5x - 3.
Learn more about linear functions at brainly.com/question/24808124
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