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A linear function is called "linear" because it represents a straight line. To graph a linear function, find two points that satisify that function, plot them, and then draw a straight line between them.
A linear function is increasing if it has a positive slope. To find this easily, put the function into the form y=mx+b. If m is positive, the function is increasing. If m is negative, it is decreasing.
To find the value of the other variable
If this is in the context of finding a root of an equation, the answer is to make some guesses. Find value x1 and x2 such that f(x1) and f(x2) have opposite signs. Then, provided that f is a continuous function over (x1, x2), the bisection method will find its root.