The linear function f has rate of change 5 and initial value - 2 is given by:
f(x) = ax + b,
The standard form of a linear equation is given by:
y = mx + b
Where y is a dependent variable, x is an independent variable, m is the slope of the line (the rate of change), b is the y intercept (that is the initial value of y).
Given a function in the form f(x) = ax + b, This is a linear function.
The linear function f has rate of change 5 and initial value - 2. Hence the equation can be represented as:
f(x) = 5x - 2.
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