Fill in the blanks to model the following problem : What point on the line y = 2x is closest to the point (0, 1)? The distance, I, of an arbitrary point (x, y) from the point (0, 1) is given by: L( x, y) (x - 1)2 + (y- 1)2 For a point on the line we can substitute y = 2x to get: = V (x - 1)' + (2x - 1)2 5x2 - 6x + 2 etermine the coordinates of the point that minimize the distance, l, we follow the dl 1. find the critical values of I by solving dx 0 2. evaluate l at all critical values and identify To that minimizes / 3. confirm that I is a minimum using the extreme value theorem VI2 + (y - 1) 2 VI2 + y2 V(x - 1)2 + 32 V( - 1)2 + (y - 1)2