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A linear equation is a specific type of function that represents a straight line on a graph. While all linear equations are functions, not all functions are linear equations. Functions can take many forms, including non-linear ones that do not result in a straight line on a graph. Linear equations, on the other hand, follow a specific form (y = mx + b) where the x variable has a coefficient and the equation represents a straight line.
Functions and Expressions are representations of relationships that exist among entities, however a function always returns a value (or result)
A linear equation in n-dimensional space is of the form a1x1 + a2x2 + ... + anxn + c = 0 where the ai are numerical constants and the xi are variables. The equation represents a straight line in n-dimensional space. A non-linear equation is one in which one or more of the xi have a power other than 1. The equation will represent a curve. A linear system is one in which you will get the same result if you change an input by the same amount - from whatever starting level. Otherwise the system is non-linear.
You can evaluate functions at points. For example, my pay is a function of how many hours I work. At 5 hours I can evaluate the result.
That will depend on the given straight line equation and then by plotting the x and y values on a graph the result will be a straight line that may be positive, negative, parallel to the x axis or parallel to the y axis.