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x-intercept of a line

Source: 2014-2015 SDML Middle School 1a Problem 2

August 28, 2016
analytic geometryx-intercept

Problem Statement

A line passes through the points (−1,3)\left(-1,3\right) and (7,−2)\left(7,-2\right). At what value of xx does this line intercept the xx-axis?
(A) 75(B) 198(C) 195(D) 275(E) 234\text{(A) }\frac{7}{5}\qquad\text{(B) }\frac{19}{8}\qquad\text{(C) }\frac{19}{5}\qquad\text{(D) }\frac{27}{5}\qquad\text{(E) }\frac{23}{4}
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