The linear function that passes through the coordinates (2,7) and (0,1) is given by y = 3x + 1.
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, when x = 0, y = 1, hence the y-intercept is of b = 1. When x increases by 2, y increased by 6, hence the slope is of m = 6/2 = 3. Thus, the equation of the line is given by:
y = 3x + 1.
More can be learned about linear functions at https://brainly.com/question/24808124
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