Suppose two points (x0, y0) and (x1, y1) are on a straight line with y1 = y0. Two

Chapter 1, Problem 17

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Suppose two points (x0, y0) and (x1, y1) are on a straight line with y1 = y0. Two formulas are available to find the x-intercept of the line: x = x0y1 x1y0 y1 y0 and x = x0 (x1 x0)y0 y1 y0 . a. Show that both formulas are algebraically correct. b. Use the data (x0, y0) = (1.31, 3.24) and (x1, y1) = (1.93, 4.76) and three-digit rounding arithmetic to compute the x-intercept both ways. Which method is better and why?

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