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Linear Functions A function f is a linear function if it can be written as f(x) = mx + b, where m and b are constants. If m = 0, the function is a constant function f(x) = b. If m = 1 and b = 0, the function is the identity function f(x) = x. Slope The slope m of a line containing the points (x1, y1) and (x2, y2) is given by m=rise/run =the change in y/the change in x =y-y/x-x