The x-intercept of the line passing through the points (x1, y1) and (x2, 92) can be...

 

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The x-intercept of the line passing through the points (x1, y1) and (x2, 92) can be computed using either one of the following formulas: or, x = X1Y2X2Y1 2 1 x = x1- (x2 - x1) Y Y2Y1 with the assumption y 92. a) Show that the formulas are equivalent to each other. = b) Compute the x-intercept using each formula when (x, y) = (1.02, 3.32) and (x2, 92): (1.31, 4.31). Use three-digit rounding arithmetic. Use Julia to compute the x-intercept using the full-precision of the device (you can use either one of the formulas). Using this result, compute the relative and absolute errors of the answers you gave in part (b). Discuss which formula is better and why. Activate W Go to Settings The x-intercept of the line passing through the points (x1, y1) and (x2, 92) can be computed using either one of the following formulas: or, x = X1Y2X2Y1 2 1 x = x1- (x2 - x1) Y Y2Y1 with the assumption y 92. a) Show that the formulas are equivalent to each other. = b) Compute the x-intercept using each formula when (x, y) = (1.02, 3.32) and (x2, 92): (1.31, 4.31). Use three-digit rounding arithmetic. Use Julia to compute the x-intercept using the full-precision of the device (you can use either one of the formulas). Using this result, compute the relative and absolute errors of the answers you gave in part (b). Discuss which formula is better and why. Activate W Go to Settings