# Suppose two points (x0, y0) and (x1, y1) are on straight line with y1 not equal to y0. Two formulas are available to find the x-intercept of the line:…

**Question:**

Suppose two points (x_{0}, y_{0}) and (x_{1}, y_{1}) are on straight line with y_{1} not equal to y_{0.} Two formulas are available to find the x-intercept of the line:

X = (x_{0}y_{1}-x_{1}y_{0})/(y_{1}-y_{0}) and x = x_{0}-[(x_{1}-x_{0})y_{0} ]\(y_{1}-y_{0}).

1 Show that both formulas are algebraically correct.

2 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 in both ways. Which method is better and why?

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