The linear function for the line that is represented is: B. \(\mathbf{f(x) = 3x - 1}\)
What is a Linear Function?
A linear function is modelled by the equation, y = mx + b, where, m is the slope and b equals the y-intercept.
Given the equation in point-slope form, y - 5 = 3(x - 2), we can rewrite the linear function for the line as shown below:
y - 5 = 3(x - 2)
y - 5 = 3x - 6
Add 5 to both sides
y = 3x - 6 + 5
y = 3x - 1
Or
\(f(x) = 3x - 1\)
Therefore, the linear function for the line that is represented is: B. \(\mathbf{f(x) = 3x - 1}\)
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