Numerical Algorithms & Linear Algebra for Computer Sci. Thanks

5. Suppose two points (10, yo) and (21, y) are on a straight line with y # yo. Two formulas are available to find the r-intercept of the line: voyi - Diyo Formula 1: 1A= Formula 2: IB = 10 - (11 20)yo y1 - yo yi - Yo (a) Show that both formulas are algebraically correct. (Algebraically show that IA= TB) (b) Use the data (20, yo) = (1.31, 3.24) and (11, y) = (1.93, 4.76) and three-digit round- ing arithmetic to compute the r-intercept both ways. (c) Compare the relative errors for both methods (this means you will need to find the true value using full precision on your calculator). Which method is better and why