The rate of change from the function y = 8x - 3 is 8.
Suppose that the considered linear equation is of the form
y = mx+c
Then, when we change x by 1 unit, then:
[tex]y + \delta y = m(x + 1) + c\\\\mx + c + \delta y = mx + c + m\\\\\\delta y = m[/tex]
where [tex]\delta y[/tex] shows the change in y as x changes by 1 unit.
It is called slope of the line this equation represents (each linear equation represents a line).
Given function;
y = 8x - 3.
Here, m = slope = 8
We know that the rate of change of a function is the same as the slope of the function.
Hence, the rate of change from the function y = 8x - 3 is 8.
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