Fix m, b ⬠R with m ã 0 (for convenience). Define f(x) = mx+ b for all x E R. Then f : R â R is a function whose graph is a line. Prove that f is uniformly continuous from the definition. (Hint: If this looks too daunting, try this with m- 2 and b-1. If you succeed with these numbers you can erase them and replace them with m and b.)