In mathematics, functions are used to associate one variable with another.
Suppose we are looking at the relationship between any two variables. In general, it is reasonable to assume that changing one variable's value will change the other variable's value.
It may be reasonable to assume that two variables are considered.
We call on the dependent variable and the other the independent variable because one depends on the other. Relationships between dependent and independent variables can often be expressed mathematically using formulas (functions).
A linear function has an independent variable (x) and a dependent variable (y) and has the form
y = f(x) = ax + b
This function is used to calculate the dependent variable's values when choosing the independent variables' values.
Explanation:
f(x) = output (dependent variable)
x = input (independent variable)
a = slope = is the coefficient of the independent variable. indicates the rate of change of the dependent variable
b = intercept = is the value of the dependent variable when x = 0. This is also the point where the diagonal meets the vertical axis. Plotting functions means plotting the values of the data using the matplotlib library.