A linear function that is displayed on a graph or a graphical device. Where the function's different values for n variables can be iterated or cross-referenced with other functions.
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Your age is a linear function (of time).
A linear function is a function, or equation, that when graphed, will form a straight line.
A linear objective function and linear constraints.
A linear function can be determined simply from its form. A linear function, over a set of variables, x1, x2, x3, etc is of the form a1x1 + a2x2 + a3x3 + ... = b where a1, a2, a3, etc and b are constants. In graphical terms the linear function over n variables is a straight line in n-dimensional space. In 2-d different letter are used instead of subscripts and the equation becomes ax + by = c This can easily be shown to be equivalent to y = mx + c (though with a different value for c).
A linear function when graphed takes the form of a straight line.