The linear function that models item b is given by:
y = 4x - 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 item b, the line goes through points (2,3) and (4,11), hence the slope is given by:
m = (11 - 3)/(4 - 2) = 8/2 = 4.
Then:
y = 4x + b.
When x = 2, y = 3, hence we use it to find b.
3 = 4(2) + b
8 + b = 3
b = -3.
Hence the equation of the line is:
y = 4x - 3.
More can be learned about linear functions at https://brainly.com/question/24808124
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