31. Grade Scaling For reasons of comparison, a professor wants to rescale the scores on a set of test papers so that the maximum score is still 100 but the average is 65 instead of 56. (a) Find a linear equation that will do this. [Hint You want 56 to become 65 and 100 to remain 100. Consider the points (56, 65) and (100, 100) and, more generally, (x, y), where x is the old score and y is the new score. Find the slope and use a point-slope form. Express y in terms of x.] (b) If 62 on the new scale is the lowest passing score, what was the lowest passing score on the original scale