Question: what is the difference quotient algebra?
Answer: Hmm. . . so basically, the difference quotient is the change in y-values divided by the change in x-values for the two points (x, f(x)) and (x + h, f(x + h), that are on the function f. ... The difference quotient is the same as the slope of the line through any two points, (x, f(x)) and (x + h, f(x + h)), on the function.